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2044122410120 = 235724018533049
BaseRepresentation
bin11101101111101111001…
…100001010110010001000
321020102020101221112000212
4131233233030022302020
5231442330314110440
64203020141220252
7300453154542200
oct35575714126210
97212211845025
102044122410120
117189a88a063a
122901b8561688
1311a9b56c725b
1470d16757400
153828b869465
hex1dbef30ac88

2044122410120 has 192 divisors, whose sum is σ = 5371568622000. Its totient is φ = 698045644800.

The previous prime is 2044122410093. The next prime is 2044122410149. The reversal of 2044122410120 is 210142214402.

It can be written as a sum of positive squares in 8 ways, for example, as 577499684356 + 1466622725764 = 759934^2 + 1211042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670422356 + ... + 670425404.

Almost surely, 22044122410120 is an apocalyptic number.

2044122410120 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 2044122410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685784311000).

2044122410120 is an abundant number, since it is smaller than the sum of its proper divisors (3327446211880).

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

2044122410120 is a wasteful number, since it uses less digits than its factorization.

2044122410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 2044122410120 its reverse (210142214402), we get a palindrome (2254264624522).

The spelling of 2044122410120 in words is "two trillion, forty-four billion, one hundred twenty-two million, four hundred ten thousand, one hundred twenty".