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130233310020000 = 25325411643102293
BaseRepresentation
bin11101100111001001001110…
…001011101000000110100000
3122002010011221021222022110200
4131213021032023220012200
5114032220304331120000
61140552205013225200
736301021554151425
oct3547111613500640
9562104837868420
10130233310020000
1138550700370480
1212734108032200
135788c43949465
14242347c151d4c
15100ca02028500
hex76724e2e81a0

130233310020000 has 720 divisors, whose sum is σ = 505652559860448. Its totient is φ = 31522302720000.

The previous prime is 130233310019987. The next prime is 130233310020029. The reversal of 130233310020000 is 20013332031.

130233310020000 is a `hidden beast` number, since 1 + 30 + 2 + 333 + 100 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 1273088854 + ... + 1273191146.

Almost surely, 2130233310020000 is an apocalyptic number.

130233310020000 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 130233310020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252826279930224).

130233310020000 is an abundant number, since it is smaller than the sum of its proper divisors (375419249840448).

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

130233310020000 is a wasteful number, since it uses less digits than its factorization.

130233310020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102983 (or 102957 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130233310020000 its reverse (20013332031), we get a palindrome (130253323352031).

The spelling of 130233310020000 in words is "one hundred thirty trillion, two hundred thirty-three billion, three hundred ten million, twenty thousand".