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23313312120000 = 2635473737759
BaseRepresentation
bin1010100110100000011011…
…01011111111110011000000
310001112201201210202120110110
411103100031223333303000
511023431130400320000
6121325553203431320
74624221415245000
oct523201553776300
9101481653676413
1023313312120000
117479135a07881
122746339085540
131001588896806
145a852826c000
152a66757e0850
hex15340daffcc0

23313312120000 has 1120 divisors, whose sum is σ = 91131428608000. Its totient is φ = 5255083008000.

The previous prime is 23313312119953. The next prime is 23313312120013. The reversal of 23313312120000 is 2121331332.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 159 ways as a sum of consecutive naturals, for example, 3004676121 + ... + 3004683879.

Almost surely, 223313312120000 is an apocalyptic number.

23313312120000 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 23313312120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45565714304000).

23313312120000 is an abundant number, since it is smaller than the sum of its proper divisors (67818116488000).

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

23313312120000 is an frugal number, since it uses more digits than its factorization.

23313312120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23313312120000 its reverse (2121331332), we get a palindrome (23315433451332).

The spelling of 23313312120000 in words is "twenty-three trillion, three hundred thirteen billion, three hundred twelve million, one hundred twenty thousand".