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131031310320 = 24325181987931
BaseRepresentation
bin111101000001000010…
…0110001111111110000
3110112012210112020102100
41322002010301333300
54121323003412240
6140110035420400
712316035521661
oct1720204617760
9415183466370
10131031310320
115062a838909
122148a154700
13c482755221
1464b0447368
15361d67be30
hex1e82131ff0

131031310320 has 60 divisors (see below), whose sum is σ = 440046819576. Its totient is φ = 34941682560.

The previous prime is 131031310309. The next prime is 131031310321. The reversal of 131031310320 is 23013130131.

It is a happy number.

131031310320 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 31 + 310 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1310313103202 (a number of 23 digits) contains 22 as substring.

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 = 131031310293 and 131031310302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031310321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90993246 + ... + 90994685.

Almost surely, 2131031310320 is an apocalyptic number.

131031310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031310320 is an abundant number, since it is smaller than the sum of its proper divisors (309015509256).

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

131031310320 is a wasteful number, since it uses less digits than its factorization.

131031310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181987950 (or 181987941 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131031310320 its reverse (23013130131), we get a palindrome (154044440451).

The spelling of 131031310320 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 181987931 363975862 545963793 727951724 909939655 1091927586 1455903448 1637891379 1819879310 2183855172 2729818965 2911806896 3275782758 3639758620 4367710344 5459637930 6551565516 7279517240 8189456895 8735420688 10919275860 13103131032 14559034480 16378913790 21838551720 26206262064 32757827580 43677103440 65515655160 131031310320