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130321223000100 = 223252117125234993
BaseRepresentation
bin11101101000011011000110…
…001101000010000000100100
3122002102120212002202102111200
4131220123012031002000210
5114040140331042000400
61141100424321402500
736310253252152026
oct3550330615020044
9562376762672450
10130321223000100
1138584a13a09630
1212749161a99430
135794314276a02
14242781bbc2016
15100ee4a053b00
hex7686c6342024

130321223000100 has 648 divisors, whose sum is σ = 452939243012256. Its totient is φ = 31082268672000.

The previous prime is 130321223000099. The next prime is 130321223000113. The reversal of 130321223000100 is 1000322123031.

130321223000100 is a `hidden beast` number, since 1 + 30 + 321 + 2 + 2 + 300 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26100783204 + ... + 26100788196.

Almost surely, 2130321223000100 is an apocalyptic number.

130321223000100 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 130321223000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226469621506128).

130321223000100 is an abundant number, since it is smaller than the sum of its proper divisors (322618020012156).

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

130321223000100 is a wasteful number, since it uses less digits than its factorization.

130321223000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130321223000100 its reverse (1000322123031), we get a palindrome (131321545123131).

The spelling of 130321223000100 in words is "one hundred thirty trillion, three hundred twenty-one billion, two hundred twenty-three million, one hundred", and thus it is an aban number.