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31345120740 = 22354112741919
BaseRepresentation
bin11101001100010100…
…001001010111100100
32222220111101010010210
4131030110021113210
51003143322330430
622222202415420
72156522062443
oct351424112744
988814333123
1031345120740
111232555a16a
1260a9501570
132c56c6a62b
141734d52d5a
15c36c7d2b0
hex74c5095e4

31345120740 has 48 divisors (see below), whose sum is σ = 89906987520. Its totient is φ = 8154827520.

The previous prime is 31345120711. The next prime is 31345120753. The reversal of 31345120740 is 4702154313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31345120698 and 31345120707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6368500 + ... + 6373419.

It is an arithmetic number, because the mean of its divisors is an integer number (1873062240).

Almost surely, 231345120740 is an apocalyptic number.

31345120740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31345120740 is an abundant number, since it is smaller than the sum of its proper divisors (58561866780).

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

31345120740 is a wasteful number, since it uses less digits than its factorization.

31345120740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741972 (or 12741970 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 31345120740 in words is "thirty-one billion, three hundred forty-five million, one hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 12741919 25483838 38225757 50967676 63709595 76451514 127419190 152903028 191128785 254838380 382257570 522418679 764515140 1044837358 1567256037 2089674716 2612093395 3134512074 5224186790 6269024148 7836280185 10448373580 15672560370 31345120740