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130197369600 = 28335217234147
BaseRepresentation
bin111100101000001011…
…1100011001100000000
3110110001200022122211000
41321100113203030000
54113121011311400
6135451205252000
712256261244634
oct1712027431400
9413050278730
10130197369600
1150242025901
1221296a04000
13c37ba4a78c
1464317a4dc4
1535c034d600
hex1e505e3300

130197369600 has 1728 divisors, whose sum is σ = 551844679680. Its totient is φ = 29845094400.

The previous prime is 130197369587. The next prime is 130197369637. The reversal of 130197369600 is 6963791031.

130197369600 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 9 + 7 + 36 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2770156777 + ... + 2770156823.

It is an arithmetic number, because the mean of its divisors is an integer number (319354560).

Almost surely, 2130197369600 is an apocalyptic number.

130197369600 is a gapful number since it is divisible by the number (10) 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 130197369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275922339840).

130197369600 is an abundant number, since it is smaller than the sum of its proper divisors (421647310080).

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

130197369600 is a wasteful number, since it uses less digits than its factorization.

130197369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 130197369600 in words is "one hundred thirty billion, one hundred ninety-seven million, three hundred sixty-nine thousand, six hundred".