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211323110113 = 2921564916057
BaseRepresentation
bin1100010011001111010…
…1101100001011100001
3202012110110201021111001
43010303311230023201
511430242204010423
6241025215352001
721160532540563
oct3046365541341
9665413637431
10211323110113
1181692428445
1234b57822601
1316c0a17652b
14a329c5d333
15576c589cad
hex3133d6c2e1

211323110113 has 12 divisors (see below), whose sum is σ = 218889006700. Its totient is φ = 204010361856.

The previous prime is 211323110101. The next prime is 211323110177. The reversal of 211323110113 is 311011323112.

211323110113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6708920464 + 204614189649 = 81908^2 + 452343^2 .

It is not a de Polignac number, because 211323110113 - 213 = 211323101921 is a prime.

It is a super-2 number, since 2×2113231101132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211323110413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13152781 + ... + 13168837.

Almost surely, 2211323110113 is an apocalyptic number.

It is an amenable number.

211323110113 is a deficient number, since it is larger than the sum of its proper divisors (7565896587).

211323110113 is a wasteful number, since it uses less digits than its factorization.

211323110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31764 (or 31735 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211323110113 its reverse (311011323112), we get a palindrome (522334433225).

The spelling of 211323110113 in words is "two hundred eleven billion, three hundred twenty-three million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 29 841 15649 16057 453821 465653 13160809 13503937 251275993 7287003797 211323110113