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130301392608 = 2534194096469
BaseRepresentation
bin111100101011010010…
…0010111011011100000
3110110022221001120120000
41321112210113123200
54113324124030413
6135505403020000
712261663364002
oct1712644273340
9413287046500
10130301392608
1150295814932
122130580a600
13c39746c45a
146441522372
1535c954a073
hex1e569176e0

130301392608 has 240 divisors, whose sum is σ = 404430642000. Its totient is φ = 41040857088.

The previous prime is 130301392607. The next prime is 130301392667. The reversal of 130301392608 is 806293103031.

130301392608 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 13 + 9 + 2 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301392607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20139198 + ... + 20145666.

It is an arithmetic number, because the mean of its divisors is an integer number (1685127675).

Almost surely, 2130301392608 is an apocalyptic number.

130301392608 is a gapful number since it is divisible by the number (18) 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 130301392608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202215321000).

130301392608 is an abundant number, since it is smaller than the sum of its proper divisors (274129249392).

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

130301392608 is a wasteful number, since it uses less digits than its factorization.

130301392608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 130301392608 its reverse (806293103031), we get a palindrome (936594495639).

The spelling of 130301392608 in words is "one hundred thirty billion, three hundred one million, three hundred ninety-two thousand, six hundred eight".