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131203130770944 = 2932317521172399
BaseRepresentation
bin11101110101010000011100…
…000000001100011000000000
3122012112220012202211001002200
4131311100130000030120000
5114144113002434132234
61143013515225513200
736431053614421551
oct3565203400143000
9565486182731080
10131203130770944
1138894a31952921
1212870067042800
13582952c67ca7b
1424583a0410328
151027d64059d99
hex77541c00c600

131203130770944 has 240 divisors, whose sum is σ = 380586930609600. Its totient is φ = 43512482856960.

The previous prime is 131203130770927. The next prime is 131203130770967. The reversal of 131203130770944 is 449077031302131.

131203130770944 is a `hidden beast` number, since 1 + 31 + 203 + 1 + 307 + 70 + 9 + 44 = 666.

It is a super-2 number, since 2×1312031307709442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131203130770944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760957257 + ... + 761129655.

It is an arithmetic number, because the mean of its divisors is an integer number (1585778877540).

Almost surely, 2131203130770944 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 131203130770944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190293465304800).

131203130770944 is an abundant number, since it is smaller than the sum of its proper divisors (249383799838656).

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

131203130770944 is a wasteful number, since it uses less digits than its factorization.

131203130770944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173261 (or 173242 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 131203130770944 in words is "one hundred thirty-one trillion, two hundred three billion, one hundred thirty million, seven hundred seventy thousand, nine hundred forty-four".