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312623326213 = 11223292133571
BaseRepresentation
bin1001000110010011100…
…11010110010000000101
31002212221020221102220121
410203021303112100011
520110223032414323
6355341150501541
731405045266562
oct4431163262005
91085836842817
10312623326213
11110645799100
1250708b048b1
13236321683c3
14111b9859869
1581eaa08a5d
hex48c9cd6405

312623326213 has 36 divisors (see below), whose sum is σ = 371361148704. Its totient is φ = 262470392800.

The previous prime is 312623326201. The next prime is 312623326229.

312623326213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312623326213 - 25 = 312623326181 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 (312623326243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2273718 + ... + 2407288.

It is an arithmetic number, because the mean of its divisors is an integer number (10315587464).

Almost surely, 2312623326213 is an apocalyptic number.

It is an amenable number.

312623326213 is a deficient number, since it is larger than the sum of its proper divisors (58737822491).

312623326213 is a wasteful number, since it uses less digits than its factorization.

312623326213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133674 (or 133634 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 312623 and 326213, that added together give a palindrome (638836).

The spelling of 312623326213 in words is "three hundred twelve billion, six hundred twenty-three million, three hundred twenty-six thousand, two hundred thirteen".

Divisors: 1 11 23 29 121 253 319 667 841 2783 3509 7337 9251 19343 80707 101761 133571 212773 1469281 2340503 3072133 3873559 16162091 33793463 42609149 89091857 112333211 371728093 468700639 980010427 1235665321 2583663853 10780114697 13592318531 28420302383 312623326213