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131240200041412 = 2271119193541214787
BaseRepresentation
bin11101110101110010111101…
…100000001111001111000100
3122012200102220012012002110221
4131311302331200033033010
5114200214412202311122
61143042525432554124
736433535334134440
oct3565627540171704
9565612805162427
10131240200041412
11388a9724553440
1212877291552944
13582cb894c2537
14245a0b9687820
151028cd35d26c7
hex775cbd80f3c4

131240200041412 has 192 divisors, whose sum is σ = 303536064706560. Its totient is φ = 48101066956800.

The previous prime is 131240200041409. The next prime is 131240200041413. The reversal of 131240200041412 is 214140002042131.

It is a super-3 number, since 3×1312402000414123 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131240200041413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610917483 + ... + 611132269.

It is an arithmetic number, because the mean of its divisors is an integer number (1580917003680).

Almost surely, 2131240200041412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131240200041412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151768032353280).

131240200041412 is an abundant number, since it is smaller than the sum of its proper divisors (172295864665148).

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

131240200041412 is a wasteful number, since it uses less digits than its factorization.

131240200041412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215562 (or 215560 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131240200041412 its reverse (214140002042131), we get a palindrome (345380202083543).

The spelling of 131240200041412 in words is "one hundred thirty-one trillion, two hundred forty billion, two hundred million, forty-one thousand, four hundred twelve".