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131311312300 = 22527219731392
BaseRepresentation
bin111101001001011000…
…0111001110110101100
3110112221022101210221001
41322102300321312230
54122411143443200
6140153521050044
712326005511200
oct1722260716654
9415838353831
10131311312300
11507638a3503
1221547a86924
13c4c877077c
1464d96d2b00
15363803a76a
hex1e92c39dac

131311312300 has 324 divisors, whose sum is σ = 356255401320. Its totient is φ = 41764584960.

The previous prime is 131311312271. The next prime is 131311312309. The reversal of 131311312300 is 3213113131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311312309) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 944685631 + ... + 944685769.

Almost surely, 2131311312300 is an apocalyptic number.

131311312300 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 131311312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178127700660).

131311312300 is an abundant number, since it is smaller than the sum of its proper divisors (224944089020).

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

131311312300 is a wasteful number, since it uses less digits than its factorization.

131311312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131311312300 its reverse (3213113131), we get a palindrome (134524425431).

The spelling of 131311312300 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred twelve thousand, three hundred".