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130311113031 = 321147251111577
BaseRepresentation
bin111100101011100100…
…1011100100101000111
3110110100121100102110200
41321113021130211013
54113334121104111
6135510351221543
712262142120301
oct1712711344507
9413317312420
10130311113031
11502a0253a40
1221308b178b3
13c399493998
146442932971
1535ca31a256
hex1e5725c947

130311113031 has 48 divisors (see below), whose sum is σ = 210545008128. Its totient is φ = 76987440000.

The previous prime is 130311113029. The next prime is 130311113057.

130311113031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130311113031 - 21 = 130311113029 is a prime.

It is a super-2 number, since 2×1303111130312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130311112995 and 130311113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311113131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112115 + ... + 1223691.

It is an arithmetic number, because the mean of its divisors is an integer number (4386354336).

Almost surely, 2130311113031 is an apocalyptic number.

130311113031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130311113031 is a deficient number, since it is larger than the sum of its proper divisors (80233895097).

130311113031 is a wasteful number, since it uses less digits than its factorization.

130311113031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111892 (or 111889 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 130311 and 113031, that added together give a palindrome (243342).

The spelling of 130311113031 in words is "one hundred thirty billion, three hundred eleven million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 11 33 47 99 141 251 423 517 753 1551 2259 2761 4653 8283 11797 24849 35391 106173 111577 129767 334731 389301 1004193 1167903 1227347 3682041 5244119 11046123 15732357 28005827 47197071 57685309 84017481 173055927 252052443 308064097 519167781 924192291 1316273869 2772576873 3948821607 11846464821 14479012559 43437037677 130311113031