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312202130013 = 32208916605613
BaseRepresentation
bin1001000101100001011…
…00100111001001011101
31002211211220101110100100
410202300230213021131
520103342221130023
6355231303051313
731361442214404
oct4426054471135
91084756343310
10312202130013
11110449a66174
125060ba40b39
1323595b15097
141117993863b
1581c3a59c43
hex48b0b2725d

312202130013 has 12 divisors (see below), whose sum is σ = 451174532380. Its totient is φ = 208035107136.

The previous prime is 312202130003. The next prime is 312202130027. The reversal of 312202130013 is 310031202213.

312202130013 is a `hidden beast` number, since 312 + 20 + 21 + 300 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 249653120409 + 62549009604 = 499653^2 + 250098^2 .

It is not a de Polignac number, because 312202130013 - 24 = 312202129997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312202130003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8284006 + ... + 8321607.

Almost surely, 2312202130013 is an apocalyptic number.

It is an amenable number.

312202130013 is a deficient number, since it is larger than the sum of its proper divisors (138972402367).

312202130013 is a wasteful number, since it uses less digits than its factorization.

312202130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16607708 (or 16607705 counting only the distinct ones).

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

Adding to 312202130013 its reverse (310031202213), we get a palindrome (622233332226).

The spelling of 312202130013 in words is "three hundred twelve billion, two hundred two million, one hundred thirty thousand, thirteen".

Divisors: 1 3 9 2089 6267 18801 16605613 49816839 149450517 34689125557 104067376671 312202130013