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10110000797 = 131975417297
BaseRepresentation
bin10010110101001101…
…00101111010011101
3222002120202020211222
421122212211322131
5131201130011142
64351112223125
7505351405661
oct113246457235
928076666758
1010110000797
114318917266
121b6199aaa5
13c51722cc0
146bc9d88a1
153e288abd2
hex25a9a5e9d

10110000797 has 16 divisors (see below), whose sum is σ = 10964690352. Its totient is φ = 9266503680.

The previous prime is 10110000787. The next prime is 10110000821. The reversal of 10110000797 is 79700001101.

It can be written as a sum of positive squares in 8 ways, for example, as 502681 + 10109498116 = 709^2 + 100546^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110000797 - 24 = 10110000781 is a prime.

It is a super-2 number, since 2×101100007972 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110000787) 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 15 ways as a sum of consecutive naturals, for example, 1381853 + ... + 1389149.

It is an arithmetic number, because the mean of its divisors is an integer number (685293147).

Almost surely, 210110000797 is an apocalyptic number.

It is an amenable number.

10110000797 is a deficient number, since it is larger than the sum of its proper divisors (854689555).

10110000797 is a wasteful number, since it uses less digits than its factorization.

10110000797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048.

The product of its (nonzero) digits is 441, while the sum is 26.

Adding to 10110000797 its reverse (79700001101), we get a palindrome (89810001898).

The spelling of 10110000797 in words is "ten billion, one hundred ten million, seven hundred ninety-seven", and thus it is an aban number.

Divisors: 1 13 197 541 2561 7033 7297 94861 106577 1385501 1437509 3947677 18687617 51319801 777692369 10110000797