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23112221310000 = 2432541737408271
BaseRepresentation
bin1010100000101001110111…
…01111011011110000110000
310000211111200102220222221200
411100110323233123300300
511012132312123410000
6121053335145451200
74603542250461624
oct520247357336060
9100744612828850
1023112221310000
117400924438a09
1227133781a0b00
13cb861c593944
1459c8cd361184
152a13066ed500
hex15053bbdbc30

23112221310000 has 600 divisors, whose sum is σ = 87894515801664. Its totient is φ = 5643924480000.

The previous prime is 23112221309987. The next prime is 23112221310007. The reversal of 23112221310000 is 1312221132.

23112221310000 is a `hidden beast` number, since 2 + 311 + 22 + 21 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×231122213100002 (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 not an unprimeable number, because it can be changed into a prime (23112221310007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 56405865 + ... + 56814135.

Almost surely, 223112221310000 is an apocalyptic number.

23112221310000 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 23112221310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43947257900832).

23112221310000 is an abundant number, since it is smaller than the sum of its proper divisors (64782294491664).

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

23112221310000 is a wasteful number, since it uses less digits than its factorization.

23112221310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408359 (or 408335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23112221310000 its reverse (1312221132), we get a palindrome (23113533531132).

The spelling of 23112221310000 in words is "twenty-three trillion, one hundred twelve billion, two hundred twenty-one million, three hundred ten thousand".