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130233020310000 = 24325419751101411
BaseRepresentation
bin11101100111001000111100…
…111010011110000111110000
3122002010011012002211112001200
4131213020330322132013300
5114032214211144410000
61140552120143531200
736301011435520026
oct3547107472360760
9562104162745050
10130233020310000
1138550571885023
1212734046bb9b00
135788bc891221a
14242345189a716
15100c9d689d500
hex76723ce9e1f0

130233020310000 has 600 divisors, whose sum is σ = 480057505424640. Its totient is φ = 32856840000000.

The previous prime is 130233020309893. The next prime is 130233020310017. The reversal of 130233020310000 is 13020332031.

130233020310000 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 330 + 20 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1302330203100002 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1284159295 + ... + 1284260705.

Almost surely, 2130233020310000 is an apocalyptic number.

130233020310000 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 130233020310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240028752712320).

130233020310000 is an abundant number, since it is smaller than the sum of its proper divisors (349824485114640).

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

130233020310000 is a wasteful number, since it uses less digits than its factorization.

130233020310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102215 (or 102191 counting only the distinct ones).

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

Adding to 130233020310000 its reverse (13020332031), we get a palindrome (130246040642031).

The spelling of 130233020310000 in words is "one hundred thirty trillion, two hundred thirty-three billion, twenty million, three hundred ten thousand".