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131535232000000 = 213563133149
BaseRepresentation
bin11101111010000101101110…
…110001110110000000000000
3122020201122102110212110121021
4131322011232301312000000
5114220033123343000000
61143430241255435224
736464051445326263
oct3572055661660000
9566648373773537
10131535232000000
1138a02862390694
12129044ab085b14
135851946ca1b6a
14246a4a6a86cda
1510317eea4e11a
hex77a16ec76000

131535232000000 has 392 divisors, whose sum is σ = 339430936478400. Its totient is φ = 50915328000000.

The previous prime is 131535231999979. The next prime is 131535232000021. The reversal of 131535232000000 is 232535131.

It is an interprime number because it is at equal distance from previous prime (131535231999979) and next prime (131535232000021).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3967983426 + ... + 3968016574.

Almost surely, 2131535232000000 is an apocalyptic number.

131535232000000 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 131535232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169715468239200).

131535232000000 is an abundant number, since it is smaller than the sum of its proper divisors (207895704478400).

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

131535232000000 is an frugal number, since it uses more digits than its factorization.

131535232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33236 (or 33187 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 131535232000000 its reverse (232535131), we get a palindrome (131535464535131).

The spelling of 131535232000000 in words is "one hundred thirty-one trillion, five hundred thirty-five billion, two hundred thirty-two million", and thus it is an aban number.