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131214531301200 = 24345259599114593
BaseRepresentation
bin11101110101011011000011…
…100001110000111101010000
3122012120222122021220222120000
4131311123003201300331100
5114144304330003114300
61143023042402450000
736431636256345234
oct3565330341607520
9565528567828500
10131214531301200
1138899852188a56
1212872309063900
13582a628573169
142458b625825c4
1510282ced64c00
hex7756c3870f50

131214531301200 has 600 divisors, whose sum is σ = 479703776904000. Its totient is φ = 34339757137920.

The previous prime is 131214531301157. The next prime is 131214531301201. The reversal of 131214531301200 is 2103135412131.

131214531301200 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 4 + 531 + 3 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214531301201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1144991104 + ... + 1145105696.

It is an arithmetic number, because the mean of its divisors is an integer number (799506294840).

Almost surely, 2131214531301200 is an apocalyptic number.

131214531301200 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 131214531301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239851888452000).

131214531301200 is an abundant number, since it is smaller than the sum of its proper divisors (348489245602800).

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

131214531301200 is a wasteful number, since it uses less digits than its factorization.

131214531301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115281 (or 115261 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131214531301200 its reverse (2103135412131), we get a palindrome (133317666713331).

The spelling of 131214531301200 in words is "one hundred thirty-one trillion, two hundred fourteen billion, five hundred thirty-one million, three hundred one thousand, two hundred".