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131101313232 = 24337382319309
BaseRepresentation
bin111101000011000111…
…1110100100011010000
3110112101200020202100210
41322012033310203100
54121443414010412
6140121020044120
712320545530051
oct1720617644320
9415350222323
10131101313232
115066630105a
12214a9693640
13c4940c5176
1464b986a728
1536248a883c
hex1e863f48d0

131101313232 has 80 divisors (see below), whose sum is σ = 347940865280. Its totient is φ = 42506021376.

The previous prime is 131101313197. The next prime is 131101313243. The reversal of 131101313232 is 232313101131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131101313199 and 131101313208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6779994 + ... + 6799302.

It is an arithmetic number, because the mean of its divisors is an integer number (4349260816).

Almost surely, 2131101313232 is an apocalyptic number.

131101313232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173970432640).

131101313232 is an abundant number, since it is smaller than the sum of its proper divisors (216839552048).

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

131101313232 is a wasteful number, since it uses less digits than its factorization.

131101313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23180 (or 23174 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131101313232 its reverse (232313101131), we get a palindrome (363414414363).

The spelling of 131101313232 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3823 7646 11469 15292 19309 22938 30584 38618 45876 57927 61168 77236 91752 115854 141451 154472 183504 231708 282902 308944 424353 463416 565804 714433 848706 926832 1131608 1428866 1697412 2143299 2263216 2857732 3394824 4286598 5715464 6789648 8573196 11430928 17146392 34292784 73818307 147636614 221454921 295273228 442909842 590546456 885819684 1181092912 1771639368 2731277359 3543278736 5462554718 8193832077 10925109436 16387664154 21850218872 32775328308 43700437744 65550656616 131101313232