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312132120029970 = 235101761310224323
BaseRepresentation
bin100011011111000011110110…
…0001000110010101100010010
31111221011112120010011121122220
41012332013230020302230102
5311402433040211424340
63023503303313041510
7122513541624306252
oct10676075410625422
91457145503147586
10312132120029970
1190500541542339
122b011367556296
1310521c17c7b016
1457113bd2a1962
1526144157b4ed0
hex11be1ec232b12

312132120029970 has 32 divisors (see below), whose sum is σ = 749117897491392. Its totient is φ = 83235142072512.

The previous prime is 312132120029969. The next prime is 312132120030043. The reversal of 312132120029970 is 79920021231213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25416229 + ... + 35640551.

It is an arithmetic number, because the mean of its divisors is an integer number (23409934296606).

Almost surely, 2312132120029970 is an apocalyptic number.

312132120029970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312132120029970 is an abundant number, since it is smaller than the sum of its proper divisors (436985777461422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312132120029970 is a wasteful number, since it uses less digits than its factorization.

312132120029970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241946.

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 312132120029970 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, twenty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 1017613 2035226 3052839 5088065 6105678 10176130 10224323 15264195 20448646 30528390 30672969 51121615 61345938 102243230 153364845 306729690 10404404000999 20808808001998 31213212002997 52022020004995 62426424005994 104044040009990 156066060014985 312132120029970