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233012210013 = 3211171910197151
BaseRepresentation
bin1101100100000010011…
…1000010100101011101
3211021110000120201012100
43121000213002211131
512304202111210023
6255013324155313
722556155051152
oct3310047024535
9737400521170
10233012210013
118a9023551a0
12391ab398b39
1318c8578225b
14b3c65d0229
1560db754c43
hex36409c295d

233012210013 has 96 divisors (see below), whose sum is σ = 409689446400. Its totient is φ = 125775936000.

The previous prime is 233012210009. The next prime is 233012210027. The reversal of 233012210013 is 310012210332.

It is not a de Polignac number, because 233012210013 - 22 = 233012210009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233012210003) 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 95 ways as a sum of consecutive naturals, for example, 32580988 + ... + 32588138.

It is an arithmetic number, because the mean of its divisors is an integer number (4267598400).

Almost surely, 2233012210013 is an apocalyptic number.

It is an amenable number.

233012210013 is a deficient number, since it is larger than the sum of its proper divisors (176677236387).

233012210013 is a wasteful number, since it uses less digits than its factorization.

233012210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233012210013 its reverse (310012210332), we get a palindrome (543024420345).

The spelling of 233012210013 in words is "two hundred thirty-three billion, twelve million, two hundred ten thousand, thirteen".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1019 1683 1881 2907 3057 3553 7151 9171 10659 11209 17323 19361 21453 31977 33627 51969 58083 64359 78661 100881 121567 135869 155907 174249 190553 212971 235983 329137 364701 407607 571659 638913 707949 987411 1094103 1222821 1337237 1494559 1714977 1916739 2309773 2962233 3620507 4011711 4483677 6929319 7286869 10861521 12035133 13451031 20787957 21860607 25407503 32584563 65581821 76222509 80155559 123876773 138450511 228667527 240466677 371630319 415351533 721400031 1114890957 1246054599 1362644503 1522955621 2353658687 4087933509 4568866863 7060976061 12263800527 13706600589 21182928183 25890245557 77670736671 233012210013