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231310312011233 = 71347618310681883
BaseRepresentation
bin110100100110000000100000…
…111110101111010111100001
31010100000001100100112201100122
4310212000200332233113201
5220304242004333324413
62135542253530330025
766502422110234210
oct6446004076572741
91110001310481318
10231310312011233
1167780174979224
1221b395a3589915
139c0b613027950
14411969bcdb077
151bb1da322e108
hexd26020faf5e1

231310312011233 has 64 divisors (see below), whose sum is σ = 299073610063872. Its totient is φ = 174061694465280.

The previous prime is 231310312011197. The next prime is 231310312011239. The reversal of 231310312011233 is 332110213013132.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231310312011233 is a prime.

It is a super-2 number, since 2×2313103120112332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231310312011239) 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, 16313510 + ... + 26995392.

It is an arithmetic number, because the mean of its divisors is an integer number (4673025157248).

Almost surely, 2231310312011233 is an apocalyptic number.

It is an amenable number.

231310312011233 is a deficient number, since it is larger than the sum of its proper divisors (67763298052639).

231310312011233 is a wasteful number, since it uses less digits than its factorization.

231310312011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682094.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 231310312011233 its reverse (332110213013132), we get a palindrome (563420525024365).

The spelling of 231310312011233 in words is "two hundred thirty-one trillion, three hundred ten billion, three hundred twelve million, eleven thousand, two hundred thirty-three".

Divisors: 1 7 13 47 61 83 91 329 427 581 611 793 1079 2867 3901 4277 5063 5551 7553 20069 27307 35441 37271 50713 65819 237961 260897 354991 460733 1665727 3093493 10681883 21654451 74773181 138864479 502048501 651594863 886596289 972051353 3514339507 4561164041 6206174023 6526630513 8470733219 11525751757 30624958561 41670025583 45686413591 54082373629 59295132533 80680262299 214374709927 291690179081 378576615403 398124461293 541710332579 703070857177 2541871560563 2786871229051 3791972328053 4921496000239 17793100923941 33044330287319 231310312011233