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31757121090 = 2335373178891
BaseRepresentation
bin11101100100110111…
…110011011001000010
310000222012121220101000
4131210313303121002
51010014310333330
622331121152430
72202654034602
oct354467633102
9100865556330
1031757121090
1112517081122
1261a348b716
132cc1421116
14177395cc02
15c5d012560
hex764df3642

31757121090 has 64 divisors (see below), whose sum is σ = 86974485120. Its totient is φ = 8239682880.

The previous prime is 31757121059. The next prime is 31757121139. The reversal of 31757121090 is 9012175713.

It is a super-3 number, since 3×317571210903 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1579456 + ... + 1599435.

It is an arithmetic number, because the mean of its divisors is an integer number (1358976330).

Almost surely, 231757121090 is an apocalyptic number.

31757121090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31757121090 is an abundant number, since it is smaller than the sum of its proper divisors (55217364030).

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

31757121090 is a wasteful number, since it uses less digits than its factorization.

31757121090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178944 (or 3178938 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 31757121090 in words is "thirty-one billion, seven hundred fifty-seven million, one hundred twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 3178891 6357782 9536673 15894455 19073346 28610019 31788910 47683365 57220038 85830057 95366730 117618967 143050095 171660114 235237934 286100190 352856901 429150285 588094835 705713802 858300570 1058570703 1176189670 1764284505 2117141406 3175712109 3528569010 5292853515 6351424218 10585707030 15878560545 31757121090