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130363866000 = 24325331307761
BaseRepresentation
bin111100101101001001…
…0101011101110010000
3110110111021121112221100
41321122102223232100
54113441122203000
6135515514024400
712263352402114
oct1713222535620
9413437545840
10130363866000
1150318005035
1221322718100
13c3a73a4164
146449945744
1535cec8aa00
hex1e5a4abb90

130363866000 has 480 divisors, whose sum is σ = 472155780096. Its totient is φ = 33488640000.

The previous prime is 130363865999. The next prime is 130363866007. The reversal of 130363866000 is 668363031.

130363866000 is a `hidden beast` number, since 13 + 0 + 3 + 6 + 38 + 6 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130363866007) 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 95 ways as a sum of consecutive naturals, for example, 171305620 + ... + 171306380.

Almost surely, 2130363866000 is an apocalyptic number.

130363866000 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 130363866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236077890048).

130363866000 is an abundant number, since it is smaller than the sum of its proper divisors (341791914096).

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

130363866000 is a wasteful number, since it uses less digits than its factorization.

130363866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 130363866000 in words is "one hundred thirty billion, three hundred sixty-three million, eight hundred sixty-six thousand".