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30311012992 = 2713109167117
BaseRepresentation
bin11100001110101011…
…010101101010000000
32220020102111222222211
4130032223111222000
5444034104403432
621531422111504
72122064234161
oct341653255200
986212458884
1030311012992
111194485a767
125a5b11b594
132b2094a860
141677887768
15bc60b0d47
hex70ead5a80

30311012992 has 64 divisors (see below), whose sum is σ = 65627238600. Its totient is φ = 13861269504.

The previous prime is 30311012983. The next prime is 30311013017. The reversal of 30311012992 is 29921011303.

It can be written as a sum of positive squares in 4 ways, for example, as 26469988416 + 3841024576 = 162696^2 + 61976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97818 + ... + 264934.

Almost surely, 230311012992 is an apocalyptic number.

30311012992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30311012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32813619300).

30311012992 is an abundant number, since it is smaller than the sum of its proper divisors (35316225608).

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

30311012992 is a wasteful number, since it uses less digits than its factorization.

30311012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167253 (or 167241 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 30311012992 in words is "thirty billion, three hundred eleven million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 416 436 832 872 1417 1664 1744 2834 3488 5668 6976 11336 13952 22672 45344 90688 167117 181376 334234 668468 1336936 2172521 2673872 4345042 5347744 8690084 10695488 17380168 18215753 21390976 34760336 36431506 69520672 72863012 139041344 145726024 236804789 278082688 291452048 473609578 582904096 947219156 1165808192 1894438312 2331616384 3788876624 7577753248 15155506496 30311012992