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10123222131 = 341111361641
BaseRepresentation
bin10010110110110010…
…00001110001110011
3222010111121222010000
421123121001301303
5131213021102011
64352303441043
7505601653101
oct113331016163
928114558100
1010123222131
114325327690
121b662b6183
13c543a1b89
146c067ac71
153e3aed356
hex25b641c73

10123222131 has 20 divisors (see below), whose sum is σ = 16497104184. Its totient is φ = 6135285600.

The previous prime is 10123222127. The next prime is 10123222177. The reversal of 10123222131 is 13122232101.

10123222131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10123222131 - 22 = 10123222127 is a prime.

It is a super-2 number, since 2×101232221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10123222331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5679930 + ... + 5681711.

Almost surely, 210123222131 is an apocalyptic number.

10123222131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10123222131 is a deficient number, since it is larger than the sum of its proper divisors (6373882053).

10123222131 is a wasteful number, since it uses less digits than its factorization.

10123222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11361664 (or 11361655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123222131 its reverse (13122232101), we get a palindrome (23245454232).

It can be divided in two parts, 101 and 23222131, that added together give a palindrome (23222232).

The spelling of 10123222131 in words is "ten billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 11361641 34084923 102254769 124978051 306764307 374934153 920292921 1124802459 3374407377 10123222131