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31130580276 = 22328537101293
BaseRepresentation
bin11100111111100001…
…101111010100110100
32222100112200022221200
4130333201233110310
51002223412032101
622145020212500
72151305365155
oct347741572464
988315608850
1031130580276
11122254457a4
12604969a130
132c21691c03
14171466792c
15c23000986
hex73f86f534

31130580276 has 36 divisors (see below), whose sum is σ = 78701183652. Its totient is φ = 10375542144.

The previous prime is 31130580263. The next prime is 31130580287. The reversal of 31130580276 is 67208503113.

31130580276 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 0 + 580 + 2 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29714864400 + 1415715876 = 172380^2 + 37626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×311305802762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31130580276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256686 + ... + 357978.

Almost surely, 231130580276 is an apocalyptic number.

31130580276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31130580276 is an abundant number, since it is smaller than the sum of its proper divisors (47570603376).

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

31130580276 is a wasteful number, since it uses less digits than its factorization.

31130580276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109840 (or 109835 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 31130580276 in words is "thirty-one billion, one hundred thirty million, five hundred eighty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 8537 17074 25611 34148 51222 76833 101293 102444 153666 202586 303879 307332 405172 607758 911637 1215516 1823274 3646548 864738341 1729476682 2594215023 3458953364 5188430046 7782645069 10376860092 15565290138 31130580276