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23310113220000 = 253254373500017
BaseRepresentation
bin1010100110011010011110…
…00001001010010110100000
310001112102110212110121121200
411103031033001022112200
511023403102441020000
6121324303532121200
74624046223115635
oct523151701122640
9101472425417550
1023310113220000
117477844245972
1227457a5906200
131001198c21889
145a830348c18c
152a6539a5d500
hex15334f04a5a0

23310113220000 has 360 divisors, whose sum is σ = 85072424513076. Its totient is φ = 6048027648000.

The previous prime is 23310113219977. The next prime is 23310113220049. The reversal of 23310113220000 is 2231101332.

23310113220000 is a `hidden beast` number, since 2 + 331 + 0 + 1 + 132 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 390110169744 + 22920003050256 = 624588^2 + 4787484^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×233101132200002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4909992 + ... + 8410008.

Almost surely, 223310113220000 is an apocalyptic number.

23310113220000 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 23310113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536212256538).

23310113220000 is an abundant number, since it is smaller than the sum of its proper divisors (61762311293076).

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

23310113220000 is a wasteful number, since it uses less digits than its factorization.

23310113220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500090 (or 3500064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23310113220000 its reverse (2231101332), we get a palindrome (23312344321332).

The spelling of 23310113220000 in words is "twenty-three trillion, three hundred ten billion, one hundred thirteen million, two hundred twenty thousand".