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20323230102000 = 2433537229833191
BaseRepresentation
bin1001001111011110111101…
…11010010011000111110000
32122221212210211220222121000
410213233132322103013300
510130433433401231000
6111120210225002000
74165206405403200
oct447573672230760
978855724828530
1020323230102000
116526040626841
122342940783300
13b4561aa68317
14503914668400
152539c1b58000
hex127bdee931f0

20323230102000 has 1920 divisors, whose sum is σ = 88692023347200. Its totient is φ = 4429700352000.

The previous prime is 20323230101983. The next prime is 20323230102023. The reversal of 20323230102000 is 20103232302.

It is a happy number.

20323230102000 is a `hidden beast` number, since 20 + 323 + 2 + 301 + 0 + 20 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 6368920405 + ... + 6368923595.

It is an arithmetic number, because the mean of its divisors is an integer number (46193762160).

Almost surely, 220323230102000 is an apocalyptic number.

20323230102000 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 20323230102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44346011673600).

20323230102000 is an abundant number, since it is smaller than the sum of its proper divisors (68368793245200).

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

20323230102000 is a wasteful number, since it uses less digits than its factorization.

20323230102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20323230102000 its reverse (20103232302), we get a palindrome (20343333334302).

The spelling of 20323230102000 in words is "twenty trillion, three hundred twenty-three billion, two hundred thirty million, one hundred two thousand".