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131212962276084 = 22321317233719379939
BaseRepresentation
bin11101110101011001100110…
…000000011010001011110100
3122012120211120221112020201200
4131311121212000122023310
5114144243121320313314
61143022222553052500
736431552345014053
oct3565314600321364
9565524527466650
10131212962276084
1138899117543187
1212871b4b6b7130
13582a438494030
142458a5403239a
15102823c233709
hex77566601a2f4

131212962276084 has 288 divisors, whose sum is σ = 405311755080960. Its totient is φ = 35363890704384.

The previous prime is 131212962276029. The next prime is 131212962276091. The reversal of 131212962276084 is 480672269212131.

It is a happy number.

131212962276084 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 2 + 9 + 6 + 2 + 27 + 608 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131212962276084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2919414 + ... + 16460525.

It is an arithmetic number, because the mean of its divisors is an integer number (1407332482920).

Almost surely, 2131212962276084 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 131212962276084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202655877540480).

131212962276084 is an abundant number, since it is smaller than the sum of its proper divisors (274098792804876).

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

131212962276084 is a wasteful number, since it uses less digits than its factorization.

131212962276084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19380039 (or 19380034 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131212962276084 in words is "one hundred thirty-one trillion, two hundred twelve billion, nine hundred sixty-two million, two hundred seventy-six thousand, eighty-four".