Search a number
-
+
10233111231 = 327479339103
BaseRepresentation
bin10011000011111000…
…01110001010111111
3222102011101220121200
421201330032022333
5131424134024411
64411231030543
7511405003350
oct114174161277
928364356550
1010233111231
114381362a22
121b9706b453
13c71098905
146d10c3d27
153ed5a7e56
hex261f0e2bf

10233111231 has 24 divisors (see below), whose sum is σ = 16928071680. Its totient is φ = 5835267216.

The previous prime is 10233111227. The next prime is 10233111247. The reversal of 10233111231 is 13211133201.

10233111231 is a `hidden beast` number, since 102 + 331 + 1 + 1 + 231 = 666.

It is not a de Polignac number, because 10233111231 - 22 = 10233111227 is a prime.

It is a super-2 number, since 2×102331112312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139375 + ... + 199728.

It is an arithmetic number, because the mean of its divisors is an integer number (705336320).

Almost surely, 210233111231 is an apocalyptic number.

10233111231 is a deficient number, since it is larger than the sum of its proper divisors (6694960449).

10233111231 is a wasteful number, since it uses less digits than its factorization.

10233111231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339595 (or 339592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10233111231 its reverse (13211133201), we get a palindrome (23444244432).

The spelling of 10233111231 in words is "ten billion, two hundred thirty-three million, one hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 479 1437 3353 4311 10059 30177 339103 1017309 2373721 3051927 7121163 21363489 162430337 487291011 1137012359 1461873033 3411037077 10233111231