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23231312322000 = 24353377113111251
BaseRepresentation
bin1010100100000111101100…
…00111100101110111010000
310001020220002002200020022220
411102003312013211313100
511021110211423301000
6121224152331301040
74615256401412346
oct522036607456720
9101226062606286
1023231312322000
117447387191982
1227324735aa780
13cc691b358593
145a4589a8b996
152a447699e1a0
hex1520f61e5dd0

23231312322000 has 640 divisors, whose sum is σ = 78607870488576. Its totient is φ = 5896800000000.

The previous prime is 23231312321977. The next prime is 23231312322007. The reversal of 23231312322000 is 22321313232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231312322007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2064816375 + ... + 2064827625.

Almost surely, 223231312322000 is an apocalyptic number.

23231312322000 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 23231312322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39303935244288).

23231312322000 is an abundant number, since it is smaller than the sum of its proper divisors (55376558166576).

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

23231312322000 is a wasteful number, since it uses less digits than its factorization.

23231312322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11516 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23231312322000 its reverse (22321313232), we get a palindrome (23253633635232).

The spelling of 23231312322000 in words is "twenty-three trillion, two hundred thirty-one billion, three hundred twelve million, three hundred twenty-two thousand".