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10131202314024 = 2331124185090391
BaseRepresentation
bin1001001101101101101010…
…1101110000111100101000
31022212112101220112101020020
42103123122231300330220
52311442200243022044
633314113214000440
72063645431535331
oct223333255607450
938775356471206
1010131202314024
11325668964a500
1211775b31a6120
135864a315486c
142704d216b288
151288085eca19
hex936dab70f28

10131202314024 has 96 divisors (see below), whose sum is σ = 28518895782720. Its totient is φ = 2995181728000.

The previous prime is 10131202313971. The next prime is 10131202314071. The reversal of 10131202314024 is 42041320213101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10131202313985 and 10131202314003.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42426132 + ... + 42664259.

It is an arithmetic number, because the mean of its divisors is an integer number (297071831070).

Almost surely, 210131202314024 is an apocalyptic number.

It is an amenable number.

10131202314024 is an abundant number, since it is smaller than the sum of its proper divisors (18387693468696).

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

10131202314024 is a wasteful number, since it uses less digits than its factorization.

10131202314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85090463 (or 85090448 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10131202314024 its reverse (42041320213101), we get a palindrome (52172522527125).

The spelling of 10131202314024 in words is "ten trillion, one hundred thirty-one billion, two hundred two million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 121 123 132 164 242 246 264 328 363 451 484 492 726 902 968 984 1353 1452 1804 2706 2904 3608 4961 5412 9922 10824 14883 19844 29766 39688 59532 119064 85090391 170180782 255271173 340361564 510542346 680723128 935994301 1021084692 1871988602 2042169384 2807982903 3488706031 3743977204 5615965806 6977412062 7487954408 10295937311 10466118093 11231931612 13954824124 20591874622 20932236186 22463863224 27909648248 30887811933 38375766341 41183749244 41864472372 61775623866 76751532682 82367498488 83728944744 115127299023 123551247732 153503065364 230254598046 247102495464 307006130728 422133429751 460509196092 844266859502 921018392184 1266400289253 1688533719004 2532800578506 3377067438008 5065601157012 10131202314024