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312130233129 = 311136071198643
BaseRepresentation
bin1001000101011000110…
…10010110001100101001
31002211122220002201100210
410202230122112030221
520103220314430004
6355220214051333
731356610130451
oct4425432261451
91084586081323
10312130233129
11110412419a60
12505ab949b49
1323583c61050
1411170180d61
1581bc5a7089
hex48ac696329

312130233129 has 32 divisors (see below), whose sum is σ = 489737170944. Its totient is φ = 174330492480.

The previous prime is 312130233097. The next prime is 312130233137. The reversal of 312130233129 is 921332031213.

It is not a de Polignac number, because 312130233129 - 25 = 312130233097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312130233096 and 312130233105.

It is not an unprimeable number, because it can be changed into a prime (312130233829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338919 + ... + 859724.

It is an arithmetic number, because the mean of its divisors is an integer number (15304286592).

Almost surely, 2312130233129 is an apocalyptic number.

312130233129 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

312130233129 is a deficient number, since it is larger than the sum of its proper divisors (177606937815).

312130233129 is a wasteful number, since it uses less digits than its factorization.

312130233129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199277.

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 312130233129 in words is "three hundred twelve billion, one hundred thirty million, two hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 3 11 13 33 39 143 429 607 1821 6677 7891 20031 23673 86801 260403 1198643 3595929 13185073 15582359 39555219 46747077 171405949 514217847 727576301 2182728903 8003339311 9458491913 24010017933 28375475739 104043411043 312130233129