Search a number
-
+
113203985764 = 2229258012
BaseRepresentation
bin110100101101101111…
…0111011110101100100
3101211012101021022120111
41221123132323311210
53323320210021024
6124001042142404
711115205000552
oct1513336736544
9354171238514
10113203985764
1144011776031
1219b33951a04
13a8a123297c
14569c928bd2
152e28531a94
hex1a5b7bbd64

113203985764 has 27 divisors (see below), whose sum is σ = 205209186091. Its totient is φ = 54640779200.

The previous prime is 113203985759. The next prime is 113203985777. The reversal of 113203985764 is 467589302311.

The square root of 113203985764 is 336458.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 44580944164 + 68623041600 = 211142^2 + 261960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19511664 + ... + 19517464.

It is a 1-persistent number, because it is pandigital, but 2⋅113203985764 = 226407971528 is not.

Almost surely, 2113203985764 is an apocalyptic number.

113203985764 is the 336458-th square number.

It is an amenable number.

113203985764 is a deficient number, since it is larger than the sum of its proper divisors (92005200327).

113203985764 is an frugal number, since it uses more digits than its factorization.

113203985764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 113203985764 by its sum of digits (49), we get a square (5546995302436 = 23552062).

The spelling of 113203985764 in words is "one hundred thirteen billion, two hundred three million, nine hundred eighty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 29 58 116 841 1682 3364 5801 11602 23204 168229 336458 672916 4878641 9757282 19514564 33651601 67303202 134606404 975896429 1951792858 3903585716 28300996441 56601992882 113203985764