Search a number
-
+
232110011313201 = 371132571086735023
BaseRepresentation
bin110100110001101001010010…
…110001011110110000110001
31010102211111111202212102012010
4310301221102301132300301
5220410342300344010301
62141353511145553133
766614252313161460
oct6461512261366061
91112744452772163
10232110011313201
1167a5933732204a
12220485851a57a9
139c68b598c0898
14414628234a9d7
151bc7aa9e255d6
hexd31a52c5ec31

232110011313201 has 64 divisors (see below), whose sum is σ = 358253060825088. Its totient is φ = 130933229027328.

The previous prime is 232110011313161. The next prime is 232110011313239. The reversal of 232110011313201 is 102313110011232.

It is not a de Polignac number, because 232110011313201 - 26 = 232110011313137 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (232110011313251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6627341976 + ... + 6627376998.

It is an arithmetic number, because the mean of its divisors is an integer number (5597704075392).

Almost surely, 2232110011313201 is an apocalyptic number.

232110011313201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232110011313201 is a deficient number, since it is larger than the sum of its proper divisors (126143049511887).

232110011313201 is a wasteful number, since it uses less digits than its factorization.

232110011313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46270.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 232110011313201 its reverse (102313110011232), we get a palindrome (334423121324433).

The spelling of 232110011313201 in words is "two hundred thirty-two trillion, one hundred ten billion, eleven million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 21 113 257 339 771 791 1799 2373 5397 10867 29041 32601 35023 76069 87123 105069 203287 228207 245161 609861 735483 1227971 2792819 3683913 3957599 8378457 8595797 9000911 11872797 19549733 25787391 27002733 27703193 58649199 63006377 83109579 189019131 315588547 380594941 946765641 1017102943 1141784823 2209119829 2664164587 3051308829 6627359487 7119720601 7992493761 21359161803 43007228333 97812899837 129021684999 293438699511 301050598331 684690298859 903151794993 2054070896577 11052857681581 33158573044743 77370003771067 232110011313201