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11855225106 = 2321021645077
BaseRepresentation
bin10110000101010000…
…00110000100010010
31010121012200211112100
423002220012010102
5143234414200411
65240214341230
7566532515334
oct130250060422
933535624470
1011855225106
115033a690aa
12236a35a816
13116c174cca
148066d3454
15495bc4456
hex2c2a06112

11855225106 has 24 divisors (see below), whose sum is σ = 25711518924. Its totient is φ = 3947865120.

The previous prime is 11855225101. The next prime is 11855225113. The reversal of 11855225106 is 60152255811.

11855225106 is a `hidden beast` number, since 1 + 1 + 85 + 522 + 51 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10932584481 + 922640625 = 104559^2 + 30375^2 .

It is a super-2 number, since 2×118552251062 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11855225101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304161 + ... + 340916.

Almost surely, 211855225106 is an apocalyptic number.

11855225106 is an abundant number, since it is smaller than the sum of its proper divisors (13856293818).

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

11855225106 is a wasteful number, since it uses less digits than its factorization.

11855225106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646106 (or 646103 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 11855225106 in words is "eleven billion, eight hundred fifty-five million, two hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 1021 2042 3063 6126 9189 18378 645077 1290154 1935231 3870462 5805693 11611386 658623617 1317247234 1975870851 3951741702 5927612553 11855225106