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100528812562040 = 23523901312123649
BaseRepresentation
bin10110110110111000110000…
…001010011001011001111000
3111011221110102210110001020122
4112312320300022121121320
5101134031002003441130
6553450144323112412
730113652455562332
oct2666706012313170
9434843383401218
10100528812562040
112a039036a01a15
12b3371a7b12708
134412a986423a5
141ab78988a0452
15b94eb9b732e5
hex5b6e30299678

100528812562040 has 64 divisors (see below), whose sum is σ = 236050375176000. Its totient is φ = 38458927153152.

The previous prime is 100528812562037. The next prime is 100528812562049. The reversal of 100528812562040 is 40265218825001.

It is a junction number, because it is equal to n+sod(n) for n = 100528812561982 and 100528812562000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100528812562049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230136 + ... + 14353784.

It is an arithmetic number, because the mean of its divisors is an integer number (3688287112125).

Almost surely, 2100528812562040 is an apocalyptic number.

100528812562040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100528812562040 is an abundant number, since it is smaller than the sum of its proper divisors (135521562613960).

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

100528812562040 is a wasteful number, since it uses less digits than its factorization.

100528812562040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12132696 (or 12132692 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 100528812562040 in words is "one hundred trillion, five hundred twenty-eight billion, eight hundred twelve million, five hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 9013 18026 36052 45065 72104 90130 180260 207299 360520 414598 829196 1036495 1658392 2072990 4145980 8291960 12123649 24247298 48494596 60618245 96989192 121236490 242472980 278843927 484945960 557687854 1115375708 1394219635 2230751416 2788439270 5576878540 11153757080 109270448437 218540896874 437081793748 546352242185 874163587496 1092704484370 2185408968740 2513220314051 4370817937480 5026440628102 10052881256204 12566101570255 20105762512408 25132203140510 50264406281020 100528812562040