Search a number
-
+
204231112312311 = 32797127392623459
BaseRepresentation
bin101110011011111101000010…
…111001101100010111110111
3222210010022012100220200000100
4232123331002321230113313
5203232110304222443221
62002210251110245143
761006132231466550
oct5633750271542767
9883108170820010
10204231112312311
115a08aa23673917
121aaa54363567b3
1389c5bb0040726
143860ba50b5327
1518927beab1926
hexb9bf42e6c5f7

204231112312311 has 48 divisors (see below), whose sum is σ = 340645997036800. Its totient is φ = 115491253261824.

The previous prime is 204231112312277. The next prime is 204231112312313. The reversal of 204231112312311 is 113213211132402.

204231112312311 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 3 + 111 + 231 + 2 + 311 = 666.

It is not a de Polignac number, because 204231112312311 - 210 = 204231112311287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204231112312313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76536300 + ... + 79159758.

Almost surely, 2204231112312311 is an apocalyptic number.

204231112312311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204231112312311 is a deficient number, since it is larger than the sum of its proper divisors (136414884724489).

204231112312311 is a wasteful number, since it uses less digits than its factorization.

204231112312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636308 (or 2636305 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 204231112312311 its reverse (113213211132402), we get a palindrome (317444323444713).

The spelling of 204231112312311 in words is "two hundred four trillion, two hundred thirty-one billion, one hundred twelve million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 97 291 679 873 2037 6111 12739 38217 89173 114651 267519 802557 1235683 2623459 3707049 7870377 8649781 11121147 18364213 23611131 25949343 55092639 77848029 165277917 254475523 763426569 1781328661 2290279707 5343985983 16031957949 33420244201 100260732603 233941709407 300782197809 701825128221 2105475384663 3241763687497 9725291062491 22692345812479 29175873187473 68077037437437 204231112312311