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130355373312 = 28321711093001
BaseRepresentation
bin111100101100111001…
…0010010010100000000
3110110110200122002011100
41321121302102110000
54113431433421222
6135515012014400
712263220251103
oct1713162222400
9413420562140
10130355373312
115031323438a
122131b901400
13c3a56bc6b8
14644877473a
1535ce15e4ac
hex1e59c92500

130355373312 has 216 divisors, whose sum is σ = 398446874280. Its totient is φ = 40845312000.

The previous prime is 130355373263. The next prime is 130355373331. The reversal of 130355373312 is 213373553031.

130355373312 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 553 + 73 + 31 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6800311296 + 123555062016 = 82464^2 + 351504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43435812 + ... + 43438812.

It is an arithmetic number, because the mean of its divisors is an integer number (1844661455).

Almost surely, 2130355373312 is an apocalyptic number.

130355373312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130355373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199223437140).

130355373312 is an abundant number, since it is smaller than the sum of its proper divisors (268091500968).

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

130355373312 is a wasteful number, since it uses less digits than its factorization.

130355373312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The spelling of 130355373312 in words is "one hundred thirty billion, three hundred fifty-five million, three hundred seventy-three thousand, three hundred twelve".