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10114232331 = 371773338651
BaseRepresentation
bin10010110101101101…
…01111000000001011
3222002212201020102110
421122312233000023
5131203220413311
64351343033403
7505432361550
oct113266570013
928085636373
1010114232331
1143202474a5
121b6329b863
13c52575078
146bd3baa27
153e2e248a6
hex25adaf00b

10114232331 has 32 divisors (see below), whose sum is σ = 16341447168. Its totient is φ = 5432025600.

The previous prime is 10114232327. The next prime is 10114232333. The reversal of 10114232331 is 13323241101.

10114232331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10114232331 - 22 = 10114232327 is a prime.

It is a super-2 number, since 2×101142323312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10114232298 and 10114232307.

It is not an unprimeable number, because it can be changed into a prime (10114232333) 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 31 ways as a sum of consecutive naturals, for example, 242356 + ... + 281006.

It is an arithmetic number, because the mean of its divisors is an integer number (510670224).

Almost surely, 210114232331 is an apocalyptic number.

10114232331 is a deficient number, since it is larger than the sum of its proper divisors (6227214837).

10114232331 is a wasteful number, since it uses less digits than its factorization.

10114232331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39411.

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

Adding to 10114232331 its reverse (13323241101), we get a palindrome (23437473432).

The spelling of 10114232331 in words is "ten billion, one hundred fourteen million, two hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 733 2199 5131 12461 15393 37383 38651 87227 115953 261681 270557 657067 811671 1971201 4599469 13798407 28331183 84993549 198318281 481630111 594954843 1444890333 3371410777 10114232331