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20320200202302 = 232711213523719577
BaseRepresentation
bin1001001111011001010100…
…10100001001100000111110
32122221120222200122010120200
410213230222110021200332
510130411232222433202
6111114545431424330
74165041334600320
oct447545224114076
978846880563520
1020320200202302
1165248262a4300
122342235b250a6
13b45257115670
145037080bb610
15253895b59e1c
hex127b2a50983e

20320200202302 has 288 divisors, whose sum is σ = 59575553908416. Its totient is φ = 4870796958720.

The previous prime is 20320200202277. The next prime is 20320200202333.

20320200202302 is a `hidden beast` number, since 2 + 0 + 320 + 20 + 0 + 20 + 2 + 302 = 666.

20320200202302 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1037953138 + ... + 1037972714.

It is an arithmetic number, because the mean of its divisors is an integer number (206859562182).

Almost surely, 220320200202302 is an apocalyptic number.

20320200202302 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 20320200202302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29787776954208).

20320200202302 is an abundant number, since it is smaller than the sum of its proper divisors (39255353706114).

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

20320200202302 is a wasteful number, since it uses less digits than its factorization.

20320200202302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24864 (or 24850 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 20320200 and 202302, that added together give a palindrome (20522502).

The spelling of 20320200202302 in words is "twenty trillion, three hundred twenty billion, two hundred million, two hundred two thousand, three hundred two".