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20031613002 = 23237101297797
BaseRepresentation
bin10010101001111110…
…100010100001001010
31220201001000101010200
4102221332202201022
5312011043104002
613111414553030
71306254621042
oct225176424112
956631011120
1020031613002
11854a361375
123a70668776
131b730c5b5b
14d80594722
157c3912b1c
hex4a9fa284a

20031613002 has 48 divisors (see below), whose sum is σ = 45016336872. Its totient is φ = 6432393600.

The previous prime is 20031613001. The next prime is 20031613061.

20031613002 is a `hidden beast` number, since 20 + 0 + 31 + 613 + 0 + 0 + 2 = 666.

20031613002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 18580688721 + 1450924281 = 136311^2 + 38091^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20031613001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81633 + ... + 216164.

Almost surely, 220031613002 is an apocalyptic number.

20031613002 is an abundant number, since it is smaller than the sum of its proper divisors (24984723870).

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

20031613002 is a wasteful number, since it uses less digits than its factorization.

20031613002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297943 (or 297940 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 20031613002 in words is "twenty billion, thirty-one million, six hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 297797 595594 893391 1786782 2680173 5360346 11018489 22036978 30077497 33055467 60154994 66110934 90232491 99166401 180464982 198332802 270697473 541394946 1112867389 2225734778 3338602167 6677204334 10015806501 20031613002