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131123323120 = 2451639041539
BaseRepresentation
bin111101000011110001…
…1110010000011110000
3110112110012122222020211
41322013203302003300
54122020032314440
6140123123513504
712321233566606
oct1720743620360
9415405588224
10131123323120
1150677774449
12214b4b28894
13c49883037a
1464bc759876
1536267a4eea
hex1e878f20f0

131123323120 has 20 divisors (see below), whose sum is σ = 304861726440. Its totient is φ = 52449329216.

The previous prime is 131123323109. The next prime is 131123323141. The reversal of 131123323120 is 21323321131.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1311233231203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131123323091 and 131123323100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819520690 + ... + 819520849.

It is an arithmetic number, because the mean of its divisors is an integer number (15243086322).

Almost surely, 2131123323120 is an apocalyptic number.

131123323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123323120 is an abundant number, since it is smaller than the sum of its proper divisors (173738403320).

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

131123323120 is a wasteful number, since it uses less digits than its factorization.

131123323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639041552 (or 1639041546 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131123323120 its reverse (21323321131), we get a palindrome (152446644251).

The spelling of 131123323120 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1639041539 3278083078 6556166156 8195207695 13112332312 16390415390 26224664624 32780830780 65561661560 131123323120