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131312033004240 = 243251117992624593
BaseRepresentation
bin11101110110110101110111…
…000101001111101011010000
3122012221022022100120200122200
4131312311313011033223100
5114202404020422113430
61143135525402403200
736441660406220154
oct3566656705175320
9565838270520580
10131312033004240
1138927136373620
121288919a200500
1358368965cb67a
14245d7718b7064
15102aad9aad460
hex776d7714fad0

131312033004240 has 240 divisors, whose sum is σ = 483767139510720. Its totient is φ = 31655380561920.

The previous prime is 131312033004203. The next prime is 131312033004263. The reversal of 131312033004240 is 42400330213131.

It is a happy number.

131312033004240 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 203 + 30 + 0 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44894617 + ... + 47729976.

It is an arithmetic number, because the mean of its divisors is an integer number (2015696414628).

Almost surely, 2131312033004240 is an apocalyptic number.

131312033004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312033004240 is an abundant number, since it is smaller than the sum of its proper divisors (352455106506480).

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

131312033004240 is a wasteful number, since it uses less digits than its factorization.

131312033004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92624802 (or 92624793 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131312033004240 its reverse (42400330213131), we get a palindrome (173712363217371).

The spelling of 131312033004240 in words is "one hundred thirty-one trillion, three hundred twelve billion, thirty-three million, four thousand, two hundred forty".