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204041020031 = 172337103149919
BaseRepresentation
bin1011111000000111001…
…0101110001001111111
3201111122222011202211222
42332001302232021333
511320334000120111
6233422443103555
720512220024342
oct2760162561177
9644588152758
10204041020031
1179595922382
1233664b11bbb
13163195a37a4
149c38a72459
1554930ed7db
hex2f81cae27f

204041020031 has 64 divisors (see below), whose sum is σ = 235602432000. Its totient is φ = 175610198016.

The previous prime is 204041019991. The next prime is 204041020033. The reversal of 204041020031 is 130020140402.

It is a de Polignac number, because none of the positive numbers 2k-204041020031 is a prime.

It is a super-2 number, since 2×2040410200312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 204041019991 and 204041020009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204041020033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222024590 + ... + 222025508.

It is an arithmetic number, because the mean of its divisors is an integer number (3681288000).

Almost surely, 2204041020031 is an apocalyptic number.

204041020031 is a deficient number, since it is larger than the sum of its proper divisors (31561411969).

204041020031 is a wasteful number, since it uses less digits than its factorization.

204041020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 204041020031 its reverse (130020140402), we get a palindrome (334061160433).

The spelling of 204041020031 in words is "two hundred four billion, forty-one million, twenty thousand, thirty-one".

Divisors: 1 17 23 37 103 149 391 629 851 919 1751 2369 2533 3427 3811 5513 14467 15347 15623 21137 34003 40273 58259 64787 87653 93721 94657 126799 136931 260899 352981 359329 567839 578051 782069 1490101 1609169 2155583 2177111 2327827 3149413 3502309 5066447 6000677 9653263 13060297 13295173 14103893 37010887 53540021 59539253 80553107 86129599 116528281 222025049 239766181 324389539 521844041 1369402819 1980980777 5514622163 8871348697 12002412943 204041020031