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130531433232 = 24334910977103
BaseRepresentation
bin111100110010001000…
…1111001101100010000
3110110220221220211222010
41321210101321230100
54114312021330412
6135544301342520
712300455606244
oct1714421715420
9413827824863
10130531433232
11503a3655852
122136a867a40
13c403014075
146463cc4424
1535de83a33c
hex1e64479b10

130531433232 has 80 divisors (see below), whose sum is σ = 338528332800. Its totient is φ = 43340153856.

The previous prime is 130531433231. The next prime is 130531433233. The reversal of 130531433232 is 232334135031.

It is an interprime number because it is at equal distance from previous prime (130531433231) and next prime (130531433233).

It is a self number, because there is not a number n which added to its sum of digits gives 130531433232.

It is not an unprimeable number, because it can be changed into a prime (130531433231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18373393 + ... + 18380495.

It is an arithmetic number, because the mean of its divisors is an integer number (4231604160).

Almost surely, 2130531433232 is an apocalyptic number.

130531433232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130531433232 is an abundant number, since it is smaller than the sum of its proper divisors (207996899568).

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

130531433232 is a wasteful number, since it uses less digits than its factorization.

130531433232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 130531433232 its reverse (232334135031), we get a palindrome (362865568263).

The spelling of 130531433232 in words is "one hundred thirty billion, five hundred thirty-one million, four hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 349 698 1047 1097 1396 2094 2194 2792 3291 4188 4388 5584 6582 7103 8376 8776 13164 14206 16752 17552 21309 26328 28412 42618 52656 56824 85236 113648 170472 340944 382853 765706 1148559 1531412 2297118 2478947 3062824 4594236 4957894 6125648 7436841 7791991 9188472 9915788 14873682 15583982 18376944 19831576 23375973 29747364 31167964 39663152 46751946 59494728 62335928 93503892 118989456 124671856 187007784 374015568 2719404859 5438809718 8158214577 10877619436 16316429154 21755238872 32632858308 43510477744 65265716616 130531433232