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10110031013 = 711131260131
BaseRepresentation
bin10010110101001101…
…01101010010100101
3222002120210210022002
421122212231102211
5131201131443023
64351113015045
7505351563035
oct113246552245
928076723262
1010110031013
114318937a35
121b619b4485
13c51733994
146bca058c5
153e2894b28
hex25a9ad4a5

10110031013 has 8 divisors (see below), whose sum is σ = 10343163456. Its totient is φ = 9879419200.

The previous prime is 10110031007. The next prime is 10110031027. The reversal of 10110031013 is 31013001101.

It is a happy number.

10110031013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10110031013 - 216 = 10109965477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10110030985 and 10110031003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110031213) 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 7 ways as a sum of consecutive naturals, for example, 622043 + ... + 638088.

It is an arithmetic number, because the mean of its divisors is an integer number (1292895432).

Almost surely, 210110031013 is an apocalyptic number.

It is an amenable number.

10110031013 is a deficient number, since it is larger than the sum of its proper divisors (233132443).

10110031013 is a wasteful number, since it uses less digits than its factorization.

10110031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260315.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10110031013 its reverse (31013001101), we get a palindrome (41123032114).

The spelling of 10110031013 in words is "ten billion, one hundred ten million, thirty-one thousand, thirteen".

Divisors: 1 71 113 8023 1260131 89469301 142394803 10110031013