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131402400000 = 2835554751
BaseRepresentation
bin111101001100000110…
…0011000000100000000
3110120011122210112202120
41322120030120010000
54123103003300000
6140210533244240
712331162654044
oct1723014300400
9416148715676
10131402400000
1150800257aa3
1221572493680
13c5115b3811
146507844024
15364102e6a0
hex1e98318100

131402400000 has 216 divisors, whose sum is σ = 437132521728. Its totient is φ = 35040000000.

The previous prime is 131402399977. The next prime is 131402400013. The reversal of 131402400000 is 4204131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2372625 + ... + 2427375.

Almost surely, 2131402400000 is an apocalyptic number.

131402400000 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 131402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218566260864).

131402400000 is an abundant number, since it is smaller than the sum of its proper divisors (305730121728).

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

131402400000 is an frugal number, since it uses more digits than its factorization.

131402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54795 (or 54761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 131402400000 its reverse (4204131), we get a palindrome (131406604131).

The spelling of 131402400000 in words is "one hundred thirty-one billion, four hundred two million, four hundred thousand".