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131411055600 = 243252116154401
BaseRepresentation
bin111101001100010110…
…1011001001111110000
3110120012021002022000100
41322120231121033300
54123112212234400
6140211442552400
712331326354036
oct1723055311760
9416167068010
10131411055600
115080512a090
1221575368700
13c513324486
146508a58556
153641b8e100
hex1e98b593f0

131411055600 has 360 divisors, whose sum is σ = 505655274384. Its totient is φ = 31334400000.

The previous prime is 131411055551. The next prime is 131411055617. The reversal of 131411055600 is 6550114131.

131411055600 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 1 + 0 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2388400 + ... + 2442800.

Almost surely, 2131411055600 is an apocalyptic number.

131411055600 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 131411055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252827637192).

131411055600 is an abundant number, since it is smaller than the sum of its proper divisors (374244218784).

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

131411055600 is a wasteful number, since it uses less digits than its factorization.

131411055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54497 (or 54483 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 131411055600 its reverse (6550114131), we get a palindrome (137961169731).

The spelling of 131411055600 in words is "one hundred thirty-one billion, four hundred eleven million, fifty-five thousand, six hundred".