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20021103213144 = 233111921373734111
BaseRepresentation
bin1001000110101100001101…
…01111101011101001011000
32121212222222002212210211120
410203112012233223221120
510111011204410310034
6110325322353125240
74134322413253425
oct443260657535130
977788862783746
1020021103213144
1164199a18a6460
1222b4282b59820
13b22c9c3c59c7
144d3052c7ad4c
1524abdc8bec49
hex123586beba58

20021103213144 has 384 divisors, whose sum is σ = 58218534190080. Its totient is φ = 5689050163200.

The previous prime is 20021103213113. The next prime is 20021103213157. The reversal of 20021103213144 is 44131230112002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4870127649 + ... + 4870131759.

It is an arithmetic number, because the mean of its divisors is an integer number (151610766120).

Almost surely, 220021103213144 is an apocalyptic number.

20021103213144 is a gapful number since it is divisible by the number (24) 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 20021103213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29109267095040).

20021103213144 is an abundant number, since it is smaller than the sum of its proper divisors (38197430976936).

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

20021103213144 is a wasteful number, since it uses less digits than its factorization.

20021103213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20021103213144 its reverse (44131230112002), we get a palindrome (64152333325146).

The spelling of 20021103213144 in words is "twenty trillion, twenty-one billion, one hundred three million, two hundred thirteen thousand, one hundred forty-four".