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102012323113002 = 231131369110989749
BaseRepresentation
bin10111001100011110011000…
…010010000010100000101010
3111101012021122012021101022110
4113030132120102002200222
5101332332214204104002
61000543451514503150
730326101315316421
oct2714363022024052
9441167565241273
10102012323113002
112a560201a3a175
12b536808734ab6
1344bc94a772c53
141b295cc18c2b8
15bbd894594e6c
hex5cc79848282a

102012323113002 has 32 divisors (see below), whose sum is σ = 205845226776000. Its totient is φ = 33700721626880.

The previous prime is 102012323112971. The next prime is 102012323113033. The reversal of 102012323113002 is 200311323210201.

It is an interprime number because it is at equal distance from previous prime (102012323112971) and next prime (102012323113033).

It is a super-2 number, since 2×1020123231130022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102012323113002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3787624 + ... + 14777372.

It is an arithmetic number, because the mean of its divisors is an integer number (6432663336750).

Almost surely, 2102012323113002 is an apocalyptic number.

102012323113002 is an abundant number, since it is smaller than the sum of its proper divisors (103832903662998).

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

102012323113002 is a wasteful number, since it uses less digits than its factorization.

102012323113002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003558.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102012323113002 its reverse (200311323210201), we get a palindrome (302323646323203).

The spelling of 102012323113002 in words is "one hundred two trillion, twelve billion, three hundred twenty-three million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 113 226 339 678 13691 27382 41073 82146 1547083 3094166 4641249 9282498 10989749 21979498 32969247 65938494 1241841637 2483683274 3725524911 7451049822 150460653559 300921307118 451381960677 902763921354 17002053852167 34004107704334 51006161556501 102012323113002