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3131070415116 = 2237331271141539
BaseRepresentation
bin101101100100000010010…
…101110000000100001100
3102002022211200101020120020
4231210002111300010030
5402244413011240431
610354221025222140
7442132562255160
oct55440225600414
912068750336506
103131070415116
11aa79746935a6
124269a5191950
131993493c7357
14ab78a5dcca0
15566a6547696
hex2d90257010c

3131070415116 has 96 divisors (see below), whose sum is σ = 8378037104640. Its totient is φ = 891538401600.

The previous prime is 3131070415111. The next prime is 3131070415147. The reversal of 3131070415116 is 6115140701313.

It is a super-2 number, since 2×31310704151162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131070415111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75355875 + ... + 75397413.

It is an arithmetic number, because the mean of its divisors is an integer number (87271219840).

Almost surely, 23131070415116 is an apocalyptic number.

It is an amenable number.

3131070415116 is an abundant number, since it is smaller than the sum of its proper divisors (5246966689524).

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

3131070415116 is a wasteful number, since it uses less digits than its factorization.

3131070415116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44595 (or 44593 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 3131070415116 in words is "three trillion, one hundred thirty-one billion, seventy million, four hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 331 662 993 1324 1986 2317 2711 3972 4634 5422 6951 8133 9268 10844 13902 16266 18977 27804 32532 37954 41539 56931 75908 83078 113862 124617 166156 227724 249234 290773 498468 581546 872319 897341 1163092 1744638 1794682 2692023 3489276 3589364 5384046 6281387 10768092 12562774 13749409 18844161 25125548 27498818 37688322 41248227 54997636 75376644 82496454 96245863 112612229 164992908 192491726 225224458 288737589 337836687 384983452 450448916 577475178 675673374 788285603 1154950356 1351346748 1576571206 2364856809 3153142412 4729713618 9459427236 37274647799 74549295598 111823943397 149098591196 223647886794 260922534593 447295773588 521845069186 782767603779 1043690138372 1565535207558 3131070415116