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20122588000710 = 23251389838723041
BaseRepresentation
bin1001001001101001001111…
…01101011011000111000110
32122020200220202102011201100
410210310213231123013012
510114142030012010320
6110444104520240530
74144544326600566
oct444644755330706
978220822364640
1020122588000710
116458a3a371418
12230ba86010146
13b2c7236cc470
144d7d1d1a0da6
1524d67c14b790
hex124d27b5b1c6

20122588000710 has 192 divisors, whose sum is σ = 56985583112640. Its totient is φ = 4896801423360.

The previous prime is 20122588000693. The next prime is 20122588000747. The reversal of 20122588000710 is 1700088522102.

20122588000710 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 2 + 588 + 0 + 0 + 0 + 71 + 0 = 666.

It is a Curzon number.

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, 873326790 + ... + 873349830.

It is an arithmetic number, because the mean of its divisors is an integer number (296799912045).

Almost surely, 220122588000710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122588000710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492791556320).

20122588000710 is an abundant number, since it is smaller than the sum of its proper divisors (36862995111930).

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

20122588000710 is a wasteful number, since it uses less digits than its factorization.

20122588000710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31543 (or 31540 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 20122588000710 in words is "twenty trillion, one hundred twenty-two billion, five hundred eighty-eight million, seven hundred ten", and thus it is an aban number.