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10131044031 = 337119926557
BaseRepresentation
bin10010110111101101…
…10111011010111111
3222011001100100202000
421123312313122333
5131222021402111
64353143233343
7506025311343
oct113366673277
928131310660
1010131044031
11432978a369
121b68a48853
13c55bb0214
146c1715623
153e4645c56
hex25bdb76bf

10131044031 has 32 divisors (see below), whose sum is σ = 15297408000. Its totient is φ = 6625190880.

The previous prime is 10131044003. The next prime is 10131044059. The reversal of 10131044031 is 13044013101.

It is an interprime number because it is at equal distance from previous prime (10131044003) and next prime (10131044059).

It is not a de Polignac number, because 10131044031 - 221 = 10128946879 is a prime.

It is a super-2 number, since 2×101310440312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131043995 and 10131044013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131094031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368205 + ... + 394761.

It is an arithmetic number, because the mean of its divisors is an integer number (478044000).

Almost surely, 210131044031 is an apocalyptic number.

10131044031 is a deficient number, since it is larger than the sum of its proper divisors (5166363969).

10131044031 is a wasteful number, since it uses less digits than its factorization.

10131044031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26836 (or 26830 counting only the distinct ones).

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

Adding to 10131044031 its reverse (13044013101), we get a palindrome (23175057132).

The spelling of 10131044031 in words is "ten billion, one hundred thirty-one million, forty-four thousand, thirty-one".

Divisors: 1 3 9 27 71 199 213 597 639 1791 1917 5373 14129 26557 42387 79671 127161 239013 381483 717039 1885547 5284843 5656641 15854529 16969923 47563587 50909769 142690761 375223853 1125671559 3377014677 10131044031