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204013112331 = 3714965200739
BaseRepresentation
bin1011111000000000100…
…0010000110000001011
3201111121000122220200110
42332000020100300023
511320304324043311
6233420005005403
720511430561650
oct2760010206013
9644530586613
10204013112331
11795810a0966
12336576b3863
1316313881c62
149c35089c27
1554909398a6
hex2f80210c0b

204013112331 has 16 divisors (see below), whose sum is σ = 312963552000. Its totient is φ = 115796510688.

The previous prime is 204013112323. The next prime is 204013112341. The reversal of 204013112331 is 133211310402.

It is not a de Polignac number, because 204013112331 - 23 = 204013112323 is a prime.

It is a super-2 number, since 2×2040131123312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 204013112298 and 204013112307.

It is not an unprimeable number, because it can be changed into a prime (204013112341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32597241 + ... + 32603498.

It is an arithmetic number, because the mean of its divisors is an integer number (19560222000).

Almost surely, 2204013112331 is an apocalyptic number.

204013112331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204013112331 is a deficient number, since it is larger than the sum of its proper divisors (108950439669).

204013112331 is a wasteful number, since it uses less digits than its factorization.

204013112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65200898.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 204013112331 its reverse (133211310402), we get a palindrome (337224422733).

The spelling of 204013112331 in words is "two hundred four billion, thirteen million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 21 149 447 1043 3129 65200739 195602217 456405173 1369215519 9714910111 29144730333 68004370777 204013112331