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10211202131 = 134329996091
BaseRepresentation
bin10011000001010001…
…01001010001010011
3222100122011210222112
421200220221101103
5131403031432011
64405125255535
7511020533414
oct114050512123
928318153875
1010211202131
11436aa59329
121b8b8645ab
13c69697550
146cc21d80b
153eb6cb58b
hex260a29453

10211202131 has 16 divisors (see below), whose sum is σ = 11258016000. Its totient is φ = 9201941280.

The previous prime is 10211202109. The next prime is 10211202161. The reversal of 10211202131 is 13120211201.

It is a cyclic number.

It is not a de Polignac number, because 10211202131 - 230 = 9137460307 is a prime.

It is a super-2 number, since 2×102112021312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211202161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673396 + ... + 1679486.

It is an arithmetic number, because the mean of its divisors is an integer number (703626000).

Almost surely, 210211202131 is an apocalyptic number.

10211202131 is a deficient number, since it is larger than the sum of its proper divisors (1046813869).

10211202131 is a wasteful number, since it uses less digits than its factorization.

10211202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10211202131 its reverse (13120211201), we get a palindrome (23331413332).

The spelling of 10211202131 in words is "ten billion, two hundred eleven million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 13 43 559 2999 6091 38987 79183 128957 261913 1676441 3404869 18266909 237469817 785477087 10211202131