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313312021032231 = 32134389699733609
BaseRepresentation
bin100011100111101001010001…
…1101101111010110100100111
31112002100100002110001212000200
41013033102203231322310213
5312031301004341012411
63030205315550241543
7122665021646326254
oct10717224355726447
91462310073055020
10313312021032231
11909159779329a1
122b181b75ab62b3
13105a9273508850
1457525502d442b
152634e70bcbe56
hex11cf4a3b7ad27

313312021032231 has 48 divisors (see below), whose sum is σ = 504312007399200. Its totient is φ = 186207509892096.

The previous prime is 313312021032209. The next prime is 313312021032251. The reversal of 313312021032231 is 132230120213313.

313312021032231 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 120 + 210 + 322 + 3 + 1 = 666.

It is not a de Polignac number, because 313312021032231 - 227 = 313311886814503 is a prime.

It is a super-2 number, since 2×3133120210322312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313312021032195 and 313312021032204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312021032251) 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, 349419046 + ... + 350314563.

It is an arithmetic number, because the mean of its divisors is an integer number (10506500154150).

Almost surely, 2313312021032231 is an apocalyptic number.

313312021032231 is a deficient number, since it is larger than the sum of its proper divisors (190999986366969).

313312021032231 is a wasteful number, since it uses less digits than its factorization.

313312021032231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699733760 (or 699733757 counting only the distinct ones).

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

Adding to 313312021032231 its reverse (132230120213313), we get a palindrome (445542141245544).

The spelling of 313312021032231 in words is "three hundred thirteen trillion, three hundred twelve billion, twenty-one million, thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 43 89 117 129 267 387 559 801 1157 1677 3471 3827 5031 10413 11481 34443 49751 149253 447759 699733609 2099200827 6297602481 9096536917 27289610751 30088545187 62276291201 81868832253 90265635561 186828873603 270796906683 391151087431 560486620809 809591785613 1173453262293 2428775356839 2677880521643 3520359786879 7286326070517 8033641564929 24100924694787 34812446781359 104437340344077 313312021032231