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1242102420 = 22325133117123
BaseRepresentation
bin100101000001000…
…1111101010010100
310012120020100012100
41022002033222110
510020434234140
6323130322100
742531460566
oct11202175224
93176210170
101242102420
11588152a29
122a7b89330
1316a445c60
14bad6d336
15740a5530
hex4a08fa94

1242102420 has 144 divisors (see below), whose sum is σ = 4188667392. Its totient is φ = 295868160.

The previous prime is 1242102391. The next prime is 1242102427. The reversal of 1242102420 is 242012421.

1242102420 is a `hidden beast` number, since 1 + 2 + 421 + 0 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1242102393 and 1242102402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242102427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63979 + ... + 81101.

It is an arithmetic number, because the mean of its divisors is an integer number (29087968).

Almost surely, 21242102420 is an apocalyptic number.

1242102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094333696).

1242102420 is an abundant number, since it is smaller than the sum of its proper divisors (2946564972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1242102420 is a wasteful number, since it uses less digits than its factorization.

1242102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17182 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1242102420 is about 35243.4734383545. The cubic root of 1242102420 is about 1074.9439076555.

Adding to 1242102420 its reverse (242012421), we get a palindrome (1484114841).

The spelling of 1242102420 in words is "one billion, two hundred forty-two million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 17123 18135 24180 34246 36270 51369 68492 72540 85615 102738 154107 171230 205476 222599 256845 308214 342460 445198 513690 530813 616428 667797 770535 890396 1027380 1061626 1112995 1335594 1541070 1592439 2003391 2123252 2225990 2654065 2671188 3082140 3184878 3338985 4006782 4451980 4777317 5308130 6369756 6677970 6900569 7962195 8013564 9554634 10016955 10616260 13355940 13801138 15924390 19109268 20033910 20701707 23886585 27602276 31848780 34502845 40067820 41403414 47773170 62105121 69005690 82806828 95546340 103508535 124210242 138011380 207017070 248420484 310525605 414034140 621051210 1242102420