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10120130031 = 3116113138377
BaseRepresentation
bin10010110110011010…
…01110110111101111
3222010021210212112210
421123031032313233
5131211223130111
64352113301503
7505533454164
oct113315166757
928107725483
1010120130031
114323605530
121b65264893
13c5385b62b
146c00b406b
153e36dc0a6
hex25b34edef

10120130031 has 32 divisors (see below), whose sum is σ = 15076106496. Its totient is φ = 5986656000.

The previous prime is 10120130003. The next prime is 10120130047. The reversal of 10120130031 is 13003102101.

It is not a de Polignac number, because 10120130031 - 213 = 10120121839 is a prime.

It is a super-2 number, since 2×101201300312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120129989 and 10120130016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120130231) 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, 244515 + ... + 282891.

It is an arithmetic number, because the mean of its divisors is an integer number (471128328).

Almost surely, 210120130031 is an apocalyptic number.

10120130031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120130031 is a deficient number, since it is larger than the sum of its proper divisors (4955976465).

10120130031 is a wasteful number, since it uses less digits than its factorization.

10120130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38583.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10120130031 its reverse (13003102101), we get a palindrome (23123232132).

The spelling of 10120130031 in words is "ten billion, one hundred twenty million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 11 33 61 131 183 393 671 1441 2013 4323 7991 23973 38377 87901 115131 263703 422147 1266441 2340997 5027387 7022991 15082161 25750967 55301257 77252901 165903771 306670607 920011821 3373376677 10120130031