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10123313031 = 3213194553897
BaseRepresentation
bin10010110110110010…
…10111111110000111
3222010111210120210200
421123121113332013
5131213032004111
64352305421543
7505602512106
oct113331277607
928114716720
1010123313031
114325389a07
121b6633a8b3
13c54404370
146c06a203d
153e3b1a256
hex25b657f87

10123313031 has 24 divisors (see below), whose sum is σ = 16576188720. Its totient is φ = 5901849216.

The previous prime is 10123313029. The next prime is 10123313087. The reversal of 10123313031 is 13031332101.

It is a happy number.

10123313031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10123313031 - 21 = 10123313029 is a prime.

It is a super-2 number, since 2×101233130312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123312995 and 10123313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123313021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2274726 + ... + 2279171.

It is an arithmetic number, because the mean of its divisors is an integer number (690674530).

Almost surely, 210123313031 is an apocalyptic number.

10123313031 is a deficient number, since it is larger than the sum of its proper divisors (6452875689).

10123313031 is a wasteful number, since it uses less digits than its factorization.

10123313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553935 (or 4553932 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10123313031 its reverse (13031332101), we get a palindrome (23154645132).

The spelling of 10123313031 in words is "ten billion, one hundred twenty-three million, three hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 4553897 13661691 40985073 59200661 86524043 177601983 259572129 532805949 778716387 1124812559 3374437677 10123313031