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10310122113 = 337412265463
BaseRepresentation
bin10011001101000011…
…11111101010000001
3222121112022110200120
421212201333222001
5132103342401423
64423021410453
7513331410024
oct114641775201
928545273616
1010310122113
114410882385
121bb8a09a29
13c84020595
146db40d1bb
1540521aee3
hex26687fa81

10310122113 has 16 divisors (see below), whose sum is σ = 14462722176. Its totient is φ = 6524530560.

The previous prime is 10310122111. The next prime is 10310122139. The reversal of 10310122113 is 31122101301.

It is a happy number.

10310122113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10310122113 - 21 = 10310122111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10310122092 and 10310122101.

It is not an unprimeable number, because it can be changed into a prime (10310122111) 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 15 ways as a sum of consecutive naturals, for example, 1128181 + ... + 1137282.

It is an arithmetic number, because the mean of its divisors is an integer number (903920136).

Almost surely, 210310122113 is an apocalyptic number.

It is an amenable number.

10310122113 is a deficient number, since it is larger than the sum of its proper divisors (4152600063).

10310122113 is a wasteful number, since it uses less digits than its factorization.

10310122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265544.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10310122113 its reverse (31122101301), we get a palindrome (41432223414).

The spelling of 10310122113 in words is "ten billion, three hundred ten million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 37 41 111 123 1517 4551 2265463 6796389 83822131 92883983 251466393 278651949 3436707371 10310122113