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11206345131 = 3223411320413
BaseRepresentation
bin10100110111111001…
…10100000110101011
31001220222201022112200
422123330310012223
5140422311021011
65051554511243
7544463235102
oct123374640653
931828638480
1011206345131
114830764a63
122208b95523
1310978c3a67
14784465039
15458c4d856
hex29bf341ab

11206345131 has 24 divisors (see below), whose sum is σ = 17302705056. Its totient is φ = 6971775360.

The previous prime is 11206345123. The next prime is 11206345153. The reversal of 11206345131 is 13154360211.

It is a happy number.

11206345131 is a `hidden beast` number, since 1 + 1 + 20 + 634 + 5 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 11206345131 - 23 = 11206345123 is a prime.

It is a super-2 number, since 2×112063451312 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11206345095 and 11206345104.

It is not an unprimeable number, because it can be changed into a prime (11206341131) 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 23 ways as a sum of consecutive naturals, for example, 651720 + ... + 668693.

It is an arithmetic number, because the mean of its divisors is an integer number (720946044).

Almost surely, 211206345131 is an apocalyptic number.

11206345131 is a deficient number, since it is larger than the sum of its proper divisors (6096359925).

11206345131 is a wasteful number, since it uses less digits than its factorization.

11206345131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320483 (or 1320480 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11206345131 in words is "eleven billion, two hundred six million, three hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 1320413 3961239 11883717 30369499 54136933 91108497 162410799 273325491 487232397 1245149459 3735448377 11206345131