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131133113232 = 243111991248031
BaseRepresentation
bin111101000100000100…
…1001000001110010000
3110112110220002100202120
41322020021020032100
54122030034110412
6140124113414240
712321413033322
oct1721011101620
9415426070676
10131133113232
1150682250950
12214b826a380
13c49a87a534
1464bdb87612
15362758ab8c
hex1e88248390

131133113232 has 80 divisors (see below), whose sum is σ = 371414323200. Its totient is φ = 39537590400.

The previous prime is 131133113203. The next prime is 131133113249. The reversal of 131133113232 is 232311331131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518944 + ... + 729087.

It is an arithmetic number, because the mean of its divisors is an integer number (4642679040).

Almost surely, 2131133113232 is an apocalyptic number.

131133113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131133113232 is an abundant number, since it is smaller than the sum of its proper divisors (240281209968).

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

131133113232 is a wasteful number, since it uses less digits than its factorization.

131133113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248252 (or 1248246 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 131133113232 its reverse (232311331131), we get a palindrome (363444444363).

The spelling of 131133113232 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 528 597 796 1194 1592 2189 2388 3184 4378 4776 6567 8756 9552 13134 17512 26268 35024 52536 105072 1248031 2496062 3744093 4992124 7488186 9984248 13728341 14976372 19968496 27456682 29952744 41185023 54913364 59905488 82370046 109826728 164740092 219653456 248358169 329480184 496716338 658960368 745074507 993432676 1490149014 1986865352 2731939859 2980298028 3973730704 5463879718 5960596056 8195819577 10927759436 11921192112 16391639154 21855518872 32783278308 43711037744 65566556616 131133113232