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130031231031 = 3213174310115053
BaseRepresentation
bin111100100011001110…
…1110010000000110111
3110102122002200221112200
41321012131302000313
54112300443343111
6135422512315543
712252203140632
oct1710635620067
9412562627480
10130031231031
11501672704a9
122124b242bb3
13c3534bac30
1464176b8c19
1535b0982256
hex1e46772037

130031231031 has 96 divisors (see below), whose sum is σ = 221334265152. Its totient is φ = 72827596800.

The previous prime is 130031231023. The next prime is 130031231041. The reversal of 130031231031 is 130132130031.

It is a happy number.

130031231031 is a `hidden beast` number, since 13 + 0 + 0 + 312 + 310 + 31 = 666.

It is not a de Polignac number, because 130031231031 - 23 = 130031231023 is a prime.

It is a super-2 number, since 2×1300312310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130031230995 and 130031231013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031231041) 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 95 ways as a sum of consecutive naturals, for example, 8630701 + ... + 8645753.

It is an arithmetic number, because the mean of its divisors is an integer number (2305565262).

Almost surely, 2130031231031 is an apocalyptic number.

130031231031 is a deficient number, since it is larger than the sum of its proper divisors (91303034121).

130031231031 is a wasteful number, since it uses less digits than its factorization.

130031231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15233 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130031231031 its reverse (130132130031), we get a palindrome (260163361062).

The spelling of 130031231031 in words is "one hundred thirty billion, thirty-one million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 13 17 39 43 51 101 117 129 153 221 303 387 559 663 731 909 1313 1677 1717 1989 2193 3939 4343 5031 5151 6579 9503 11817 13029 15053 15453 22321 28509 39087 45159 56459 66963 73831 85527 135477 169377 195689 200889 221493 255901 508131 587067 647279 664479 767703 959803 1520353 1761201 1941837 2303109 2879409 3326713 4561059 5825511 8414627 8638227 9980139 11003743 13683177 19764589 25243881 25846001 29940417 33011229 59293767 65375179 75731643 77538003 99033687 143048659 177881301 196125537 232614009 335998013 429145977 588376611 849877327 1007994039 1111378043 1287437931 2549631981 3023982117 3334134129 7648895943 10002402387 14447914559 43343743677 130031231031