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23231122004000 = 255373155351229
BaseRepresentation
bin1010100100000111010101…
…10001100101100000100000
310001020212120211120002010002
411102003222301211200200
511021104314213112000
6121224121412155132
74615251600631361
oct522035261454040
9101225524502102
1023231122004000
117447299812179
12273241b908aa8
13cc68baab1191
145a456c6a9b68
152a4464e088d5
hex1520eac65820

23231122004000 has 192 divisors, whose sum is σ = 57899156646240. Its totient is φ = 9159074611200.

The previous prime is 23231122003993. The next prime is 23231122004003. The reversal of 23231122004000 is 40022113232.

It can be written as a sum of positive squares in 16 ways, for example, as 7217583141136 + 16013538862864 = 2686556^2 + 4001692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23231122004003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453450386 + ... + 453501614.

Almost surely, 223231122004000 is an apocalyptic number.

23231122004000 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 23231122004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28949578323120).

23231122004000 is an abundant number, since it is smaller than the sum of its proper divisors (34668034642240).

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

23231122004000 is a wasteful number, since it uses less digits than its factorization.

23231122004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52880 (or 52862 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23231122004000 its reverse (40022113232), we get a palindrome (23271144117232).

The spelling of 23231122004000 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred twenty-two million, four thousand".