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1331130031 = 72112469629
BaseRepresentation
bin100111101010111…
…0110111010101111
310102202202102010021
41033111312322233
510211232130111
6340030423011
744662263400
oct11725667257
93382672107
101331130031
1162342a770
12311961a67
13182a1740a
14c8b059a7
157bcddd71
hex4f576eaf

1331130031 has 12 divisors (see below), whose sum is σ = 1689226920. Its totient is φ = 1037243760.

The previous prime is 1331130023. The next prime is 1331130077. The reversal of 1331130031 is 1300311331.

It is not a de Polignac number, because 1331130031 - 23 = 1331130023 is a prime.

It is a super-2 number, since 2×13311300312 = 3543814318860121922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331129987 and 1331130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331130011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234276 + ... + 1235353.

It is an arithmetic number, because the mean of its divisors is an integer number (140768910).

Almost surely, 21331130031 is an apocalyptic number.

1331130031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331130031 is a deficient number, since it is larger than the sum of its proper divisors (358096889).

1331130031 is a wasteful number, since it uses less digits than its factorization.

1331130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469654 (or 2469647 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1331130031 is about 36484.6547331889. The cubic root of 1331130031 is about 1100.0358200457.

Adding to 1331130031 its reverse (1300311331), we get a palindrome (2631441362).

It can be divided in two parts, 13311300 and 31, that added together give a palindrome (13311331).

The spelling of 1331130031 in words is "one billion, three hundred thirty-one million, one hundred thirty thousand, thirty-one".

Divisors: 1 7 11 49 77 539 2469629 17287403 27165919 121011821 190161433 1331130031