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31330613000 = 2353257121909
BaseRepresentation
bin11101001011011100…
…110011011100001000
32222212111002001021002
4131023130303130020
51003131114104000
622220523434132
72156254550021
oct351334633410
988774061232
1031330613000
11123183502a5
1260a4685948
132c53c5b07b
141733057c48
15c358648d5
hex74b733708

31330613000 has 64 divisors (see below), whose sum is σ = 73599505200. Its totient is φ = 12483379200.

The previous prime is 31330612991. The next prime is 31330613011. The reversal of 31330613000 is 31603313.

It can be written as a sum of positive squares in 8 ways, for example, as 7355806756 + 23974806244 = 85766^2 + 154838^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 196046 + ... + 317954.

Almost surely, 231330613000 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 31330613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36799752600).

31330613000 is an abundant number, since it is smaller than the sum of its proper divisors (42268892200).

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

31330613000 is a wasteful number, since it uses less digits than its factorization.

31330613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122187 (or 122173 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The spelling of 31330613000 in words is "thirty-one billion, three hundred thirty million, six hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 5140 6425 10280 12850 25700 32125 51400 64250 121909 128500 243818 257000 487636 609545 975272 1219090 2438180 3047725 4876360 6095450 12190900 15238625 24381800 30477250 31330613 60954500 62661226 121909000 125322452 156653065 250644904 313306130 626612260 783265325 1253224520 1566530650 3133061300 3916326625 6266122600 7832653250 15665306500 31330613000