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102813112083 = 31129372903587
BaseRepresentation
bin101111111000000100…
…0111001011100010011
3100211101020000020120010
41133300020321130103
53141030124041313
6115122013450003
710266543014313
oct1376010713423
9324336006503
10102813112083
113a66a359920
1217b13aa0903
13990657abc6
144d948d9443
152a1b1b44c3
hex17f0239713

102813112083 has 32 divisors (see below), whose sum is σ = 158884335360. Its totient is φ = 58536293760.

The previous prime is 102813112079. The next prime is 102813112099. The reversal of 102813112083 is 380211318201.

It is not a de Polignac number, because 102813112083 - 22 = 102813112079 is a prime.

It is a super-3 number, since 3×1028131120833 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102813112083.

It is not an unprimeable number, because it can be changed into a prime (102813112013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1416385 + ... + 1487202.

It is an arithmetic number, because the mean of its divisors is an integer number (4965135480).

Almost surely, 2102813112083 is an apocalyptic number.

102813112083 is a deficient number, since it is larger than the sum of its proper divisors (56071223277).

102813112083 is a wasteful number, since it uses less digits than its factorization.

102813112083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903667.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 102813112083 in words is "one hundred two billion, eight hundred thirteen million, one hundred twelve thousand, eighty-three".

Divisors: 1 3 11 29 33 37 87 111 319 407 957 1073 1221 3219 11803 35409 2903587 8710761 31939457 84204023 95818371 107432719 252612069 322298157 926244253 1181759909 2778732759 3115548851 3545279727 9346646553 34271037361 102813112083