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31002757540 = 225172328314009
BaseRepresentation
bin11100110111111010…
…001000100110100100
32222000122011021010021
4130313322020212210
51001443201220130
622124212404524
72145164043136
oct346772104644
988018137107
1031002757540
111216a280677
126012916744
132c01059461
1417016b3056
15c16ba237a
hex737e889a4

31002757540 has 96 divisors (see below), whose sum is σ = 72192072960. Its totient is φ = 11123920896.

The previous prime is 31002757507. The next prime is 31002757559. The reversal of 31002757540 is 4575720013.

It is a super-2 number, since 2×310027575402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 31002757496 and 31002757505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206056 + ... + 2220064.

It is an arithmetic number, because the mean of its divisors is an integer number (752000760).

Almost surely, 231002757540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002757540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36096036480).

31002757540 is an abundant number, since it is smaller than the sum of its proper divisors (41189315420).

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

31002757540 is a wasteful number, since it uses less digits than its factorization.

31002757540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14341 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The spelling of 31002757540 in words is "thirty-one billion, two million, seven hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 283 340 391 460 566 782 1132 1415 1564 1955 2830 3910 4811 5660 6509 7820 9622 13018 14009 19244 24055 26036 28018 32545 48110 56036 65090 70045 96220 110653 130180 140090 221306 238153 280180 322207 442612 476306 553265 644414 952612 1106530 1190765 1288828 1611035 2213060 2381530 3222070 3964547 4763060 5477519 6444140 7929094 10955038 15858188 19822735 21910076 27387595 39645470 54775190 67397299 79290940 91184581 109550380 134794598 182369162 269589196 336986495 364738324 455922905 673972990 911845810 1347945980 1550137877 1823691620 3100275754 6200551508 7750689385 15501378770 31002757540