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10113044031 = 321766098327
BaseRepresentation
bin10010110101100100…
…01100111000111111
3222002210110212101100
421122302030320333
5131202414402111
64351301344143
7505416312246
oct113262147077
928083425340
1010113044031
11431a605732
121b62a08053
13c5224a22c
146bd18b95d
153e2c8c756
hex25ac8ce3f

10113044031 has 12 divisors (see below), whose sum is σ = 15467008752. Its totient is φ = 6345439296.

The previous prime is 10113044017. The next prime is 10113044059. The reversal of 10113044031 is 13044031101.

10113044031 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 10113044031 - 210 = 10113043007 is a prime.

It is a super-2 number, since 2×101130440312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113043995 and 10113044013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113044131) 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 11 ways as a sum of consecutive naturals, for example, 33049011 + ... + 33049316.

It is an arithmetic number, because the mean of its divisors is an integer number (1288917396).

Almost surely, 210113044031 is an apocalyptic number.

10113044031 is a deficient number, since it is larger than the sum of its proper divisors (5353964721).

10113044031 is a wasteful number, since it uses less digits than its factorization.

10113044031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66098350 (or 66098347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10113044031 its reverse (13044031101), we get a palindrome (23157075132).

It can be divided in two parts, 101130 and 44031, that added together give a square (145161 = 3812).

The spelling of 10113044031 in words is "ten billion, one hundred thirteen million, forty-four thousand, thirty-one".

Divisors: 1 3 9 17 51 153 66098327 198294981 594884943 1123671559 3371014677 10113044031