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131313300130278 = 23271042169048653
BaseRepresentation
bin11101110110110111000010…
…100110111100100111100110
3122012221102120122220100210200
4131312313002212330213212
5114202414114313132103
61143140255225331330
736442033663502160
oct3566670246744746
9565842518810720
10131313300130278
1138927726658122
1212889492636b46
135836a38c964a6
14245d851cbb930
15102ab60e580a3
hex776dc29bc9e6

131313300130278 has 24 divisors (see below), whose sum is σ = 325156743180048. Its totient is φ = 37518085751472.

The previous prime is 131313300130277. The next prime is 131313300130387. The reversal of 131313300130278 is 872031003313131.

131313300130278 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 30 + 0 + 1 + 302 + 7 + 8 = 666.

It is a super-2 number, since 2×1313133001302782 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313300130277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521084524201 + ... + 521084524452.

It is an arithmetic number, because the mean of its divisors is an integer number (13548197632502).

Almost surely, 2131313300130278 is an apocalyptic number.

131313300130278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131313300130278 is an abundant number, since it is smaller than the sum of its proper divisors (193843443049770).

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

131313300130278 is a wasteful number, since it uses less digits than its factorization.

131313300130278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042169048668 (or 1042169048665 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 131313300130278 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred million, one hundred thirty thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1042169048653 2084338097306 3126507145959 6253014291918 7295183340571 9379521437877 14590366681142 18759042875754 21885550021713 43771100043426 65656650065139 131313300130278