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20323144132302 = 231121719232173947
BaseRepresentation
bin1001001111011110110011…
…10010010110011011001110
32122221212120212011021100010
410213233121302112123032
510130433244344213202
6111120153514214050
74165204312564524
oct447573162263316
978855525137303
1020323144132302
116525aa7048500
122342917a24326
13b45605cc798b
1450390708a314
152539b932576c
hex127bd9c966ce

20323144132302 has 576 divisors, whose sum is σ = 52410476079360. Its totient is φ = 5216572753920.

The previous prime is 20323144132267. The next prime is 20323144132307.

It is a happy number.

20323144132302 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20323144132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323144132307) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21460552993 + ... + 21460553939.

It is an arithmetic number, because the mean of its divisors is an integer number (90990409860).

Almost surely, 220323144132302 is an apocalyptic number.

20323144132302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20323144132302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26205238039680).

20323144132302 is an abundant number, since it is smaller than the sum of its proper divisors (32087331947058).

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

20323144132302 is a wasteful number, since it uses less digits than its factorization.

20323144132302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2032314 and 4132302, that added together give a palindrome (6164616).

The spelling of 20323144132302 in words is "twenty trillion, three hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred two".