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130101323110200 = 23365213139493817
BaseRepresentation
bin11101100101001110010011…
…001001100001011100111000
3122001122120020220022121000000
4131211032103021201130320
5114023040002204011300
61140411420035513000
736255340033012221
oct3545162311413470
9561576226277000
10130101323110200
11384aa730185632
1212712611a58760
13577966b231870
14241ad1ac38248
151009379a3ac00
hex765393261738

130101323110200 has 672 divisors, whose sum is σ = 491921837643600. Its totient is φ = 31794481428480.

The previous prime is 130101323110183. The next prime is 130101323110217. The reversal of 130101323110200 is 2011323101031.

130101323110200 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 1 + 323 + 110 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (130101323110183) and next prime (130101323110217).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 263213692 + ... + 263707508.

Almost surely, 2130101323110200 is an apocalyptic number.

130101323110200 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 130101323110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245960918821800).

130101323110200 is an abundant number, since it is smaller than the sum of its proper divisors (361820514533400).

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

130101323110200 is a wasteful number, since it uses less digits than its factorization.

130101323110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494003 (or 493979 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130101323110200 its reverse (2011323101031), we get a palindrome (132112646211231).

The spelling of 130101323110200 in words is "one hundred thirty trillion, one hundred one billion, three hundred twenty-three million, one hundred ten thousand, two hundred".