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131653500000 = 253561179101
BaseRepresentation
bin111101010011100101…
…0001111110001100000
3110120211011021202012120
41322213022033301200
54124111244000000
6140251503224240
712340332200031
oct1724712176140
9416734252176
10131653500000
1150919a72160
12216225a8080
13c55161cab9
14652cd28a88
1536580ce6a0
hex1ea728fc60

131653500000 has 672 divisors, whose sum is σ = 481943831040. Its totient is φ = 31200000000.

The previous prime is 131653499951. The next prime is 131653500089. The reversal of 131653500000 is 5356131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1303499950 + ... + 1303500050.

It is an arithmetic number, because the mean of its divisors is an integer number (717178320).

Almost surely, 2131653500000 is an apocalyptic number.

131653500000 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 131653500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240971915520).

131653500000 is an abundant number, since it is smaller than the sum of its proper divisors (350290331040).

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

131653500000 is an equidigital number, since it uses as much as digits as its factorization.

131653500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 131653500000 its reverse (5356131), we get a palindrome (131658856131).

The spelling of 131653500000 in words is "one hundred thirty-one billion, six hundred fifty-three million, five hundred thousand".