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130031221032 = 233229101616589
BaseRepresentation
bin111100100011001110…
…1101111100100101000
3110102122002200102211100
41321012131233210220
54112300443033112
6135422512201400
712252203066526
oct1710635574450
9412562612740
10130031221032
1150167263a39
122124b239260
13c3534b650b
1464176b5316
1535b097e2dc
hex1e4676f928

130031221032 has 96 divisors (see below), whose sum is σ = 367919253000. Its totient is φ = 41434713600.

The previous prime is 130031221013. The next prime is 130031221037. The reversal of 130031221032 is 230122130031.

130031221032 is a `hidden beast` number, since 1 + 300 + 312 + 21 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129811766436 + 219454596 = 360294^2 + 14814^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130031220996 and 130031221014.

It is not an unprimeable number, because it can be changed into a prime (130031221037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97407 + ... + 519182.

Almost surely, 2130031221032 is an apocalyptic number.

130031221032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130031221032 is an abundant number, since it is smaller than the sum of its proper divisors (237888031968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130031221032 is a wasteful number, since it uses less digits than its factorization.

130031221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616731 (or 616724 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130031221032 its reverse (230122130031), we get a palindrome (360153351063).

The spelling of 130031221032 in words is "one hundred thirty billion, thirty-one million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 101 116 174 202 232 261 303 348 404 522 606 696 808 909 1044 1212 1818 2088 2424 2929 3636 5858 7272 8787 11716 17574 23432 26361 35148 52722 70296 105444 210888 616589 1233178 1849767 2466356 3699534 4932712 5549301 7399068 11098602 14798136 17881081 22197204 35762162 44394408 53643243 62275489 71524324 107286486 124550978 143048648 160929729 186826467 214572972 249101956 321859458 373652934 429145944 498203912 560479401 643718916 747305868 1120958802 1287437832 1494611736 1805989181 2241917604 3611978362 4483835208 5417967543 7223956724 10835935086 14447913448 16253902629 21671870172 32507805258 43343740344 65015610516 130031221032