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232122103111131 = 36119329243224743
BaseRepresentation
bin110100110001110100100011…
…100000000001110111011011
31010102212122201110201101121220
4310301310203200001313123
5220411042031344024011
62141403231055103123
766615161050566612
oct6461644340016733
91112778643641556
10232122103111131
1167a63481882882
122204a99a811aa3
139c6a035a867bc
144146aac222879
151bc806677a506
hexd31d23801ddb

232122103111131 has 32 divisors (see below), whose sum is σ = 316211960044032. Its totient is φ = 151416704194560.

The previous prime is 232122103111097. The next prime is 232122103111169. The reversal of 232122103111131 is 131111301221232.

It is not a de Polignac number, because 232122103111131 - 226 = 232122036002267 is a prime.

It is a super-2 number, since 2×2321221031111312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232122103116131) 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 31 ways as a sum of consecutive naturals, for example, 1032721146 + ... + 1032945888.

It is an arithmetic number, because the mean of its divisors is an integer number (9881623751376).

Almost surely, 2232122103111131 is an apocalyptic number.

232122103111131 is a deficient number, since it is larger than the sum of its proper divisors (84089856932901).

232122103111131 is a wasteful number, since it uses less digits than its factorization.

232122103111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254243.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 232122103111131 its reverse (131111301221232), we get a palindrome (363233404332363).

The spelling of 232122103111131 in words is "two hundred thirty-two trillion, one hundred twenty-two billion, one hundred three million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 61 183 193 579 11773 29243 35319 87729 224743 674229 1783823 5351469 5643899 13709323 16931697 41127969 43375399 130126197 344277839 1032833517 2645899339 6572159549 7937698017 19716478647 400901732489 1202705197467 1268426792957 3805280378871 77374034370377 232122103111131