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231113113202322 = 232138445711694269
BaseRepresentation
bin110100100011001000110111…
…000000111110111010010010
31010022022012100020012021122100
4310203020313000332322102
5220243024123434433242
62135311522023421230
766452241252066111
oct6443106700767222
91108265306167570
10231113113202322
116770458032938a
1221b07329bb4816
139bc5b47161bc0
14410dd11c6dc78
151babbb0b7c54c
hexd2323703ee92

231113113202322 has 48 divisors (see below), whose sum is σ = 539270361990360. Its totient is φ = 71110879070976.

The previous prime is 231113113202291. The next prime is 231113113202341. The reversal of 231113113202322 is 223202311311132.

231113113202322 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 1 + 3 + 11 + 320 + 2 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208805996914641 + 22307116287681 = 14450121^2 + 4723041^2 .

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 23 ways as a sum of consecutive naturals, for example, 13915804 + ... + 25610072.

Almost surely, 2231113113202322 is an apocalyptic number.

231113113202322 is an abundant number, since it is smaller than the sum of its proper divisors (308157248788038).

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

231113113202322 is a wasteful number, since it uses less digits than its factorization.

231113113202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778747 (or 11778744 counting only the distinct ones).

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

Adding to 231113113202322 its reverse (223202311311132), we get a palindrome (454315424513454).

The spelling of 231113113202322 in words is "two hundred thirty-one trillion, one hundred thirteen billion, one hundred thirteen million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 84457 168914 253371 506742 760113 1097941 1520226 2195882 3293823 6587646 9881469 11694269 19762938 23388538 35082807 70165614 105248421 152025497 210496842 304050994 456076491 912152982 1368229473 2736458946 987662876933 1975325753866 2962988630799 5925977261598 8888965892397 12839617400129 17777931784794 25679234800258 38518852200387 77037704400774 115556556601161 231113113202322