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131234112240000 = 273547112645583
BaseRepresentation
bin11101110101101101010010…
…101001000111100110000000
3122012122212011220220201220120
4131311231102221013212000
5114200114430213140000
61143040041402140240
736433231432521330
oct3565552251074600
9565585156821816
10131234112240000
11388a7090103100
12128760727b1680
13582c429194493
142459a9cd410c0
151028a78e046a0
hex775b52a47980

131234112240000 has 960 divisors, whose sum is σ = 547199374149120. Its totient is φ = 27269383680000.

The previous prime is 131234112239981. The next prime is 131234112240001. The reversal of 131234112240000 is 42211432131.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131234112240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202957209 + ... + 203602791.

It is an arithmetic number, because the mean of its divisors is an integer number (569999348072).

Almost surely, 2131234112240000 is an apocalyptic number.

131234112240000 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 131234112240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273599687074560).

131234112240000 is an abundant number, since it is smaller than the sum of its proper divisors (415965261909120).

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

131234112240000 is an equidigital number, since it uses as much as digits as its factorization.

131234112240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645649 (or 645611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131234112240000 its reverse (42211432131), we get a palindrome (131276323672131).

The spelling of 131234112240000 in words is "one hundred thirty-one trillion, two hundred thirty-four billion, one hundred twelve million, two hundred forty thousand".