Search a number
-
+
202131312312331 = 1723167634353089
BaseRepresentation
bin101101111101011001011101…
…000100011000000000001011
3222111200120020200202112020201
4231331121131010120000023
5202443204411422443311
61553521502025033031
760401335231130443
oct5575313504300013
9874616220675221
10202131312312331
115945045427aa06
121a80649b625777
1388a2b93553c3c
1437cb2c9d87123
151857d752039c1
hexb7d65d11800b

202131312312331 has 48 divisors (see below), whose sum is σ = 224995154974720. Its totient is φ = 181324586741760.

The previous prime is 202131312312323. The next prime is 202131312312341. The reversal of 202131312312331 is 133213213131202.

It is not a de Polignac number, because 202131312312331 - 23 = 202131312312323 is a prime.

It is a super-2 number, since 2×2021313123123312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202131312312331.

It is not an unprimeable number, because it can be changed into a prime (202131312312311) 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, 3807378235 + ... + 3807431323.

Almost surely, 2202131312312331 is an apocalyptic number.

202131312312331 is a deficient number, since it is larger than the sum of its proper divisors (22863842662389).

202131312312331 is a wasteful number, since it uses less digits than its factorization.

202131312312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59564 (or 59547 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 202131312312331 its reverse (133213213131202), we get a palindrome (335344525443533).

The spelling of 202131312312331 in words is "two hundred two trillion, one hundred thirty-one billion, three hundred twelve million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 17 31 67 289 527 1139 2077 6343 8959 19363 35309 53089 107831 196633 424981 600253 902513 1645759 1833127 3342761 3556963 7224677 13174411 15342721 27977903 56826937 60468371 110265853 122819509 223964987 336743527 475624351 1027962307 1874519501 3807404779 5724639959 10439049337 22561816309 31866831517 97318879303 177463838729 383550877253 699416305579 3016885258393 6520364913301 11890077194843 202131312312331