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101253375027 = 3471794192381
BaseRepresentation
bin101111001001100101…
…0111110010000110011
3100200100112002101120000
41132103022332100303
53124331331000102
6114303135121043
710213103326050
oct1362312762063
9320315071500
10101253375027
1139a39988332
1217759673183
1397183a157c
144c876c6027
1529792ba01c
hex17932be433

101253375027 has 80 divisors (see below), whose sum is σ = 174316665600. Its totient is φ = 57374412480.

The previous prime is 101253374941. The next prime is 101253375029. The reversal of 101253375027 is 720573352101.

It is a happy number.

101253375027 is a `hidden beast` number, since 10 + 1 + 253 + 375 + 0 + 27 = 666.

It is not a de Polignac number, because 101253375027 - 27 = 101253374899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101253374982 and 101253375000.

It is not an unprimeable number, because it can be changed into a prime (101253375029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42524377 + ... + 42526757.

It is an arithmetic number, because the mean of its divisors is an integer number (2178958320).

Almost surely, 2101253375027 is an apocalyptic number.

101253375027 is a deficient number, since it is larger than the sum of its proper divisors (73063290573).

101253375027 is a wasteful number, since it uses less digits than its factorization.

101253375027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 101253375027 in words is "one hundred one billion, two hundred fifty-three million, three hundred seventy-five thousand, twenty-seven".

Divisors: 1 3 7 9 21 27 63 81 179 189 419 537 567 1253 1257 1611 2381 2933 3759 3771 4833 7143 8799 11277 11313 14499 16667 21429 26397 33831 33939 50001 64287 75001 79191 101493 150003 192861 225003 237573 426199 450009 525007 675009 997639 1278597 1350027 1575021 2025027 2983393 2992917 3835791 4725063 6075081 6983473 8950179 8978751 11507373 14175189 20950419 26850537 26936253 34522119 42525567 62851257 80551611 80808759 178577381 188553771 241654833 535732143 565661313 1250041667 1607196429 3750125001 4821589287 11250375003 14464767861 33751125009 101253375027