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103255252496 = 24113375033461
BaseRepresentation
bin110000000101001111…
…1100001111000010000
3100212112000222022011222
41200022133201320100
53142431321034441
6115233530224212
710313522110364
oct1401237417020
9325460868158
10103255252496
113a876997520
1218017b85068
139977055356
144dd750d2a4
152a44dedd4b
hex180a7e1e10

103255252496 has 80 divisors (see below), whose sum is σ = 219390208128. Its totient is φ = 46688409600.

The previous prime is 103255252493. The next prime is 103255252531. The reversal of 103255252496 is 694252552301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (103255252493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29832206 + ... + 29835666.

Almost surely, 2103255252496 is an apocalyptic number.

103255252496 is a gapful number since it is divisible by the number (16) 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 103255252496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109695104064).

103255252496 is an abundant number, since it is smaller than the sum of its proper divisors (116134955632).

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

103255252496 is a wasteful number, since it uses less digits than its factorization.

103255252496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 103255252496 in words is "one hundred three billion, two hundred fifty-five million, two hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 337 503 674 1006 1348 2012 2696 3461 3707 4024 5392 5533 6922 7414 8048 11066 13844 14828 22132 27688 29656 38071 44264 55376 59312 76142 88528 152284 169511 304568 339022 609136 678044 1166357 1356088 1740883 1864621 2332714 2712176 3481766 3729242 4665428 6963532 7458484 9330856 12829927 13927064 14916968 18661712 19149713 25659854 27854128 29833936 38299426 51319708 76598852 102639416 153197704 205278832 306395408 586677571 1173355142 2346710284 4693420568 6453453281 9386841136 12906906562 25813813124 51627626248 103255252496