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13002110100031 = 1329160721461329
BaseRepresentation
bin1011110100110100101000…
…1001110110001000111111
31201000222201102000201100111
42331031022021312020333
53201011310141200111
643353030435210451
72511241260222463
oct275151211661077
951028642021314
1013002110100031
114163189207118
12155ba90446a27
1373412aba1510
1432d43c3804a3
15178334a46a21
hexbd34a27623f

13002110100031 has 16 divisors (see below), whose sum is σ = 14494123828800. Its totient is φ = 11580875970048.

The previous prime is 13002110099969. The next prime is 13002110100103. The reversal of 13002110100031 is 13000101120031.

It is a cyclic number.

It is not a de Polignac number, because 13002110100031 - 221 = 13002108002879 is a prime.

It is a super-2 number, since 2×130021101000312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13002110099984 and 13002110100020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002110100431) 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, 10124826 + ... + 11336503.

It is an arithmetic number, because the mean of its divisors is an integer number (905882739300).

Almost surely, 213002110100031 is an apocalyptic number.

13002110100031 is a deficient number, since it is larger than the sum of its proper divisors (1492013728769).

13002110100031 is a wasteful number, since it uses less digits than its factorization.

13002110100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21462978.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13002110100031 its reverse (13000101120031), we get a palindrome (26002211220062).

The spelling of 13002110100031 in words is "thirteen trillion, two billion, one hundred ten million, one hundred thousand, thirty-one".

Divisors: 1 13 29 377 1607 20891 46603 605839 21461329 278997277 622378541 8090921033 34488355703 448348624139 1000162315387 13002110100031