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10508095081 = 11293192
BaseRepresentation
bin10011100100101010…
…01100111001101001
31000010022211112112201
421302111030321221
5133010033020311
64454412540201
7521254222501
oct116225147151
930108745481
1010508095081
114502600400
122053181661
13cb6048053
14719824a01
154177c49c1
hex27254ce69

10508095081 has 9 divisors (see below), whose sum is σ = 11551459773. Its totient is φ = 9551788620.

The previous prime is 10508095007. The next prime is 10508095093. The reversal of 10508095081 is 18059080501.

The square root of 10508095081 is 102509.

It is a perfect power (a square), and thus also a powerful number.

10508095081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10508095081 is a prime.

It is a super-2 number, since 2×105080950812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10508095081.

It is not an unprimeable number, because it can be changed into a prime (10508095681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1122940 + ... + 1132258.

Almost surely, 210508095081 is an apocalyptic number.

10508095081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10508095081 is the 102509-th square number.

10508095081 is the 51255-th centered octagonal number.

It is an amenable number.

10508095081 is a deficient number, since it is larger than the sum of its proper divisors (1043364692).

10508095081 is an frugal number, since it uses more digits than its factorization.

10508095081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18660 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 37.

Multiplying 10508095081 by its product of nonzero digits (14400), we get a square (151316569166400 = 123010802).

The spelling of 10508095081 in words is "ten billion, five hundred eight million, ninety-five thousand, eighty-one".

Divisors: 1 11 121 9319 102509 1127599 86843761 955281371 10508095081