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231032213301213 = 32175417121391961
BaseRepresentation
bin110100100001111101100001…
…000000010110011111011101
31010022000110112011202111101200
4310201331201000112133131
5220240212433101114323
62135210422242030113
766443345422220112
oct6441754100263735
91108013464674350
10231032213301213
1167683236458285
1221ab3710948339
139bbb32376972c
14410a0397a2909
151ba9a286a1443
hexd21f610167dd

231032213301213 has 48 divisors (see below), whose sum is σ = 354047130049392. Its totient is φ = 144672749568000.

The previous prime is 231032213301203. The next prime is 231032213301233. The reversal of 231032213301213 is 312103312230132.

231032213301213 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 322 + 1 + 330 + 1 + 2 + 1 + 3 = 666.

231032213301213 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 8 ways, for example, as 40737416812569 + 190294796488644 = 6382587^2 + 13794738^2 .

It is not a de Polignac number, because 231032213301213 - 25 = 231032213301181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231032213301203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589230553 + ... + 589622513.

It is an arithmetic number, because the mean of its divisors is an integer number (7375981876029).

Almost surely, 2231032213301213 is an apocalyptic number.

It is an amenable number.

231032213301213 is a deficient number, since it is larger than the sum of its proper divisors (123014916748179).

231032213301213 is a wasteful number, since it uses less digits than its factorization.

231032213301213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399646 (or 399643 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 231032213301213 its reverse (312103312230132), we get a palindrome (543135525531345).

The spelling of 231032213301213 in words is "two hundred thirty-one trillion, thirty-two billion, two hundred thirteen million, three hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 541 1623 4869 7121 9197 21363 27591 64089 82773 121057 363171 391961 1089513 1175883 3527649 3852461 6663337 11557383 19990011 34672149 59970033 65491837 196475511 212050901 589426533 636152703 1908458109 2791154281 3604865317 8373462843 10814595951 25120388529 32443787853 47449622777 142348868331 427046604993 1510014466021 4530043398063 13590130194189 25670245922357 77010737767071 231032213301213