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20111202344000 = 2653295310091621
BaseRepresentation
bin1001001001010100000010…
…00100100101110001000000
32122012121112021021212221002
410210222001010211301000
510114000220300002000
6110434543034151132
74143662225242265
oct444520104456100
978177467255832
1020111202344000
116454127474a79
122309828b824a8
13b2b62a915ca1
144d755cdc126c
1524d2127cd8d5
hex124a81125c40

20111202344000 has 448 divisors, whose sum is σ = 52579391716800. Its totient is φ = 7608287232000.

The previous prime is 20111202343997. The next prime is 20111202344003. The reversal of 20111202344000 is 44320211102.

It is an interprime number because it is at equal distance from previous prime (20111202343997) and next prime (20111202344003).

It can be written as a sum of positive squares in 32 ways, for example, as 17759077079104 + 2352125264896 = 4214152^2 + 1533664^2 .

It is a super-2 number, since 2×201112023440002 (a number of 27 digits) contains 22 as substring.

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 (20111202344003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12406663190 + ... + 12406664810.

Almost surely, 220111202344000 is an apocalyptic number.

20111202344000 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 20111202344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289695858400).

20111202344000 is an abundant number, since it is smaller than the sum of its proper divisors (32468189372800).

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

20111202344000 is a wasteful number, since it uses less digits than its factorization.

20111202344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20111202344000 its reverse (44320211102), we get a palindrome (20155522555102).

The spelling of 20111202344000 in words is "twenty trillion, one hundred eleven billion, two hundred two million, three hundred forty-four thousand".