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130130231121000 = 2332531129316412281
BaseRepresentation
bin11101100101101001001110…
…001100110101010001101000
3122001202022212112211200210200
4131211221032030311101220
5114024023203131333000
61140433000342512200
736260412303031125
oct3545511614652150
9561668775750720
10130130231121000
1138510a14a85a50
121271813b135660
13577c2c72bc2b6
14241c4a022b74c
151009ebc862500
hex765a4e335468

130130231121000 has 1536 divisors, whose sum is σ = 513407675289600. Its totient is φ = 29417472000000.

The previous prime is 130130231120999. The next prime is 130130231121013. The reversal of 130130231121000 is 121132031031.

130130231121000 is a `hidden beast` number, since 1 + 30 + 1 + 302 + 311 + 21 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57049639860 + ... + 57049642140.

It is an arithmetic number, because the mean of its divisors is an integer number (334249788600).

Almost surely, 2130130231121000 is an apocalyptic number.

130130231121000 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 130130231121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256703837644800).

130130231121000 is an abundant number, since it is smaller than the sum of its proper divisors (383277444168600).

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

130130231121000 is a wasteful number, since it uses less digits than its factorization.

130130231121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3003 counting only the distinct ones).

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

Adding to 130130231121000 its reverse (121132031031), we get a palindrome (130251363152031).

The spelling of 130130231121000 in words is "one hundred thirty trillion, one hundred thirty billion, two hundred thirty-one million, one hundred twenty-one thousand".