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32330012130000 = 243254131011371997
BaseRepresentation
bin1110101100111011010101…
…11000110111101011010000
311020110201102010120210210200
413112131222320313223100
513214143331101130000
6152432111425255200
76544523560616124
oct726355270675320
9136421363523720
1032330012130000
11a335099007662
123761933794500
131506926553510
147daad0c63584
153b0ea0188500
hex1d676ae37ad0

32330012130000 has 1200 divisors, whose sum is σ = 123924980074896. Its totient is φ = 7817932800000.

The previous prime is 32330012129999. The next prime is 32330012130019. The reversal of 32330012130000 is 3121003323.

32330012130000 is a `hidden beast` number, since 32 + 330 + 0 + 1 + 2 + 1 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 26069888033424 + 6260124096576 = 5105868^2 + 2502024^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 16189289002 + ... + 16189290998.

Almost surely, 232330012130000 is an apocalyptic number.

32330012130000 is a gapful number since it is divisible by the number (30) 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 32330012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61962490037448).

32330012130000 is an abundant number, since it is smaller than the sum of its proper divisors (91594967944896).

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

32330012130000 is a wasteful number, since it uses less digits than its factorization.

32330012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2258 counting only the distinct ones).

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

Adding to 32330012130000 its reverse (3121003323), we get a palindrome (32333133133323).

The spelling of 32330012130000 in words is "thirty-two trillion, three hundred thirty billion, twelve million, one hundred thirty thousand".