Search a number
-
+
233141035132100 = 225211728119878841
BaseRepresentation
bin110101000000101001100000…
…100101001110010011000100
31010120111001202121002010112202
4311000221200211032103010
5221024240314443211400
62143503302444334032
7100051612122063224
oct6500514045162304
91116431677063482
10233141035132100
11683166153a3297
1222194364b44318
13a01214a3ab0c4
14418012cb8a084
151be48000ee4d5
hexd40a6094e4c4

233141035132100 has 36 divisors (see below), whose sum is σ = 505920385395348. Its totient is φ = 93255614208000.

The previous prime is 233141035132087. The next prime is 233141035132121. The reversal of 233141035132100 is 1231530141332.

It can be written as a sum of positive squares in 6 ways, for example, as 7799385536644 + 225341649595456 = 2792738^2 + 15011384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1788680 + ... + 21667520.

Almost surely, 2233141035132100 is an apocalyptic number.

233141035132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233141035132100 is an abundant number, since it is smaller than the sum of its proper divisors (272779350263248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233141035132100 is a wasteful number, since it uses less digits than its factorization.

233141035132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996136 (or 19996129 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 233141035132100 its reverse (1231530141332), we get a palindrome (234372565273432).

The spelling of 233141035132100 in words is "two hundred thirty-three trillion, one hundred forty-one billion, thirty-five million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 117281 234562 469124 586405 1172810 2345620 2932025 5864050 11728100 19878841 39757682 79515364 99394205 198788410 397576820 496971025 993942050 1987884100 2331410351321 4662820702642 9325641405284 11657051756605 23314103513210 46628207026420 58285258783025 116570517566050 233141035132100