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10122013031 = 134198092297
BaseRepresentation
bin10010110110101000…
…11010100101100111
3222010102100112112112
421123110122211213
5131212213404111
64352221511235
7505555456034
oct113324324547
928112315475
1010122013031
114324681229
121b65a1251b
13c5406a730
146c044438b
153e395ee8b
hex25b51a967

10122013031 has 16 divisors (see below), whose sum is σ = 10944914400. Its totient is φ = 9305522688.

The previous prime is 10122013021. The next prime is 10122013067. The reversal of 10122013031 is 13031022101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122013031 is a prime.

It is a super-2 number, since 2×101220130312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122012997 and 10122013015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122013021) 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, 4405475 + ... + 4407771.

It is an arithmetic number, because the mean of its divisors is an integer number (684057150).

Almost surely, 210122013031 is an apocalyptic number.

10122013031 is a deficient number, since it is larger than the sum of its proper divisors (822901369).

10122013031 is a wasteful number, since it uses less digits than its factorization.

10122013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10122013031 its reverse (13031022101), we get a palindrome (23153035132).

The spelling of 10122013031 in words is "ten billion, one hundred twenty-two million, thirteen thousand, thirty-one".

Divisors: 1 13 419 809 2297 5447 10517 29861 338971 962443 1858273 4406623 12511759 24157549 778616387 10122013031