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102012013223131 = 1137416113262613
BaseRepresentation
bin10111001100011110000101…
…110011111001110011011011
3111101012020211121011100022211
4113030132011303321303123
5101332331100341120011
61000543401044455551
730326060533306414
oct2714360563716333
9441166747140284
10102012013223131
112a560063020340
12b5367409aa5b7
1344bc8cb4c176b
141b2959cd6280b
15bbd877280b21
hex5cc785cf9cdb

102012013223131 has 16 divisors (see below), whose sum is σ = 117081205583328. Its totient is φ = 88030981612800.

The previous prime is 102012013223041. The next prime is 102012013223147. The reversal of 102012013223131 is 131322310210201.

It is a cyclic number.

It is not a de Polignac number, because 102012013223131 - 29 = 102012013222619 is a prime.

It is a super-2 number, since 2×1020120132231312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012013223531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3056614620 + ... + 3056647993.

It is an arithmetic number, because the mean of its divisors is an integer number (7317575348958).

Almost surely, 2102012013223131 is an apocalyptic number.

102012013223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102012013223131 is a deficient number, since it is larger than the sum of its proper divisors (15069192360197).

102012013223131 is a wasteful number, since it uses less digits than its factorization.

102012013223131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113262702.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102012013223131 its reverse (131322310210201), we get a palindrome (233334323433332).

The spelling of 102012013223131 in words is "one hundred two trillion, twelve billion, thirteen million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 11 37 41 407 451 1517 16687 6113262613 67245888743 226190716681 250643767133 2488097883491 2757081438463 9273819383921 102012013223131