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2143102520 = 235132794013
BaseRepresentation
bin111111110111101…
…0010011000111000
312112100121212222102
41333233102120320
513342113240040
6552354042532
7104052033206
oct17757223070
95470555872
102143102520
119aa7a8709
124b9879448
13281ccc900
141648aa076
15c822d515
hex7fbd2638

2143102520 has 96 divisors (see below), whose sum is σ = 5288846400. Its totient is φ = 781088256.

The previous prime is 2143102477. The next prime is 2143102543. The reversal of 2143102520 is 252013412.

It is a super-2 number, since 2×21431025202 = 9185776822460700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2143102492 and 2143102501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532034 + ... + 536046.

It is an arithmetic number, because the mean of its divisors is an integer number (55092150).

Almost surely, 22143102520 is an apocalyptic number.

2143102520 is a gapful number since it is divisible by the number (20) 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 2143102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644423200).

2143102520 is an abundant number, since it is smaller than the sum of its proper divisors (3145743880).

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

2143102520 is a wasteful number, since it uses less digits than its factorization.

2143102520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2143102520 is about 46293.6552888190. The cubic root of 2143102520 is about 1289.2811972096.

Adding to 2143102520 its reverse (252013412), we get a palindrome (2395115932).

The spelling of 2143102520 in words is "two billion, one hundred forty-three million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 169 260 316 338 395 520 632 676 790 845 1027 1352 1580 1690 2054 3160 3380 4013 4108 5135 6760 8026 8216 10270 13351 16052 20065 20540 26702 32104 40130 41080 52169 53404 66755 80260 104338 106808 133510 160520 208676 260845 267020 317027 417352 521690 534040 634054 678197 1043380 1268108 1356394 1585135 2086760 2536216 2712788 3170270 3390985 4121351 5425576 6340540 6781970 8242702 12681080 13563940 16485404 20606755 27127880 32970808 41213510 53577563 82427020 107155126 164854040 214310252 267887815 428620504 535775630 1071551260 2143102520