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12431101012 = 22112172416269
BaseRepresentation
bin10111001001111001…
…11000110001010100
31012002100022100202121
423210330320301110
5200424330213022
65413305345324
7620024421001
oct134474706124
935070270677
1012431101012
1152aa03a200
1224ab198244
131231575295
1485cd9a8a8
154cb5292c7
hex2e4f38c54

12431101012 has 72 divisors (see below), whose sum is σ = 25427583720. Its totient is φ = 5295206400.

The previous prime is 12431100917. The next prime is 12431101021. The reversal of 12431101012 is 21010113421.

12431101012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3721732036 + 8709368976 = 61006^2 + 93324^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1979814 + ... + 1986082.

It is an arithmetic number, because the mean of its divisors is an integer number (353160885).

Almost surely, 212431101012 is an apocalyptic number.

It is an amenable number.

12431101012 is an abundant number, since it is smaller than the sum of its proper divisors (12996482708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12431101012 is a wasteful number, since it uses less digits than its factorization.

12431101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12431101012 its reverse (21010113421), we get a palindrome (33441214433).

The spelling of 12431101012 in words is "twelve billion, four hundred thirty-one million, one hundred one thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 241 242 374 482 484 748 964 2057 2651 4097 4114 5302 6269 8194 8228 10604 12538 16388 25076 29161 45067 58322 68959 90134 106573 116644 137918 180268 213146 275836 426292 495737 758549 991474 1172303 1510829 1517098 1982948 2344606 3021658 3034196 4689212 6043316 12895333 16619119 25684093 25790666 33238238 51368186 51581332 66476476 102736372 182810309 282525023 365620618 565050046 731241236 1130100092 3107775253 6215550506 12431101012