Search a number
-
+
201332312131122 = 23258409919149371
BaseRepresentation
bin101101110001110001010100…
…111100100100011000110010
3222101212011212222221211210200
4231301301110330210120302
5202342112033401143442
61552110442022140030
760256531244503134
oct5561612474443062
9871764788854720
10201332312131122
1159172610525937
121a6b7673b81616
13884572b780123
1437a0770723054
1518421aeaa934c
hexb71c54f24632

201332312131122 has 24 divisors (see below), whose sum is σ = 436220779222800. Its totient is φ = 67110652309560.

The previous prime is 201332312131109. The next prime is 201332312131129. The reversal of 201332312131122 is 221131213233102.

201332312131122 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 32 + 312 + 1 + 311 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (201332312131129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 939097 + ... + 20088467.

It is an arithmetic number, because the mean of its divisors is an integer number (18175865800950).

Almost surely, 2201332312131122 is an apocalyptic number.

201332312131122 is an abundant number, since it is smaller than the sum of its proper divisors (234888467091678).

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

201332312131122 is a wasteful number, since it uses less digits than its factorization.

201332312131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19733478 (or 19733475 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 201332312131122 its reverse (221131213233102), we get a palindrome (422463525364224).

The spelling of 201332312131122 in words is "two hundred one trillion, three hundred thirty-two billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 584099 1168198 1752297 3504594 5256891 10513782 19149371 38298742 57448113 114896226 172344339 344688678 11185128451729 22370256903458 33555385355187 67110770710374 100666156065561 201332312131122