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1351214100 = 2232523740577
BaseRepresentation
bin101000010001001…
…1110010000010100
310111011112210021200
41100202132100110
510231402322400
6342025112500
745325062465
oct12042362024
93434483250
101351214100
116337a8175
12318628730
13186c29b92
14cb652d6c
157d959b00
hex5089e414

1351214100 has 108 divisors (see below), whose sum is σ = 4349880444. Its totient is φ = 350576640.

The previous prime is 1351214093. The next prime is 1351214101. The reversal of 1351214100 is 14121531.

1351214100 is a `hidden beast` number, since 1 + 351 + 214 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32216976 + 1318997124 = 5676^2 + 36318^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13012 + ... + 53588.

Almost surely, 21351214100 is an apocalyptic number.

1351214100 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 1351214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174940222).

1351214100 is an abundant number, since it is smaller than the sum of its proper divisors (2998666344).

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

1351214100 is a wasteful number, since it uses less digits than its factorization.

1351214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40634 (or 40624 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1351214100 is about 36758.8642370789. The cubic root of 1351214100 is about 1105.5406675529.

Adding to 1351214100 its reverse (14121531), we get a palindrome (1365335631).

The spelling of 1351214100 in words is "one billion, three hundred fifty-one million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 40577 81154 121731 162308 202885 243462 365193 405770 486924 608655 730386 811540 1014425 1217310 1460772 1501349 1825965 2028850 2434620 3002698 3043275 3651930 4057700 4504047 6005396 6086550 7303860 7506745 9008094 9129825 12173100 13512141 15013490 18016188 18259650 22520235 27024282 30026980 36519300 37533725 45040470 54048564 67560705 75067450 90080940 112601175 135121410 150134900 225202350 270242820 337803525 450404700 675607050 1351214100