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232300010130000 = 2435425797730839
BaseRepresentation
bin110100110100011010001111…
…100101011100101001010000
31010110111122221010011100111220
4310310122033211130221100
5220422000410043130000
62142021052412005040
766634056543365121
oct6464321745345120
91113448833140456
10232300010130000
116802197674028a
122207936b460780
139c80a48bc9b77
14415154807c048
151bcc9ca3561a0
hexd3468f95ca50

232300010130000 has 400 divisors, whose sum is σ = 753608258663040. Its totient is φ = 61640474624000.

The previous prime is 232300010129947. The next prime is 232300010130037. The reversal of 232300010130000 is 31010003232.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×2323000101300003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 7532654581 + ... + 7532685419.

Almost surely, 2232300010130000 is an apocalyptic number.

232300010130000 is a gapful number since it is divisible by the number (20) 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 232300010130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376804129331520).

232300010130000 is an abundant number, since it is smaller than the sum of its proper divisors (521308248533040).

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

232300010130000 is a wasteful number, since it uses less digits than its factorization.

232300010130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32104 (or 32083 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 232300010130000 its reverse (31010003232), we get a palindrome (232331020133232).

The spelling of 232300010130000 in words is "two hundred thirty-two trillion, three hundred billion, ten million, one hundred thirty thousand".