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312111210313 = 72131213122817
BaseRepresentation
bin1001000101010110100…
…01110001111101001001
31002211121120022020222001
410202223101301331021
520103200432212223
6355214254231001
731356256341400
oct4425321617511
91084546266861
10312111210313
11110402706921
12505a54b5461
1323580030646
141116b82c637
1581baa9a9ad
hex48ab471f49

312111210313 has 24 divisors (see below), whose sum is σ = 366027371424. Its totient is φ = 265345516800.

The previous prime is 312111210311. The next prime is 312111210343. The reversal of 312111210313 is 313012111213.

It is not a de Polignac number, because 312111210313 - 21 = 312111210311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312111210311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13667481 + ... + 13690297.

It is an arithmetic number, because the mean of its divisors is an integer number (15251140476).

Almost surely, 2312111210313 is an apocalyptic number.

It is an amenable number.

312111210313 is a deficient number, since it is larger than the sum of its proper divisors (53916161111).

312111210313 is a wasteful number, since it uses less digits than its factorization.

312111210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25093 (or 25086 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 312111210313 its reverse (313012111213), we get a palindrome (625123321526).

The spelling of 312111210313 in words is "three hundred twelve billion, one hundred eleven million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 7 49 131 917 2131 6419 14917 22817 104419 159719 279161 1118033 1954127 2989027 13678889 20923189 48623027 146462323 340361189 2382528323 6369616537 44587315759 312111210313