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131031300000 = 25355479293
BaseRepresentation
bin111101000001000010…
…0101111011110100000
3110112012210111201021010
41322002010233132200
54121323003100000
6140110035300520
712316035446616
oct1720204573640
9415183451233
10131031300000
115062a831087
122148a14a740
13c482750613
1464b04436b6
15361d678d50
hex1e8212f7a0

131031300000 has 288 divisors, whose sum is σ = 439113394944. Its totient is φ = 34194560000.

The previous prime is 131031299939. The next prime is 131031300013. The reversal of 131031300000 is 3130131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14095354 + ... + 14104646.

It is an arithmetic number, because the mean of its divisors is an integer number (1524699288).

Almost surely, 2131031300000 is an apocalyptic number.

131031300000 is a gapful number since it is divisible by the number (10) 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 131031300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219556697472).

131031300000 is an abundant number, since it is smaller than the sum of its proper divisors (308082094944).

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

131031300000 is an frugal number, since it uses more digits than its factorization.

131031300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131031300000 its reverse (3130131), we get a palindrome (131034430131).

The spelling of 131031300000 in words is "one hundred thirty-one billion, thirty-one million, three hundred thousand".