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20122100222013 = 322977096169433
BaseRepresentation
bin1001001001101000010101…
…01000101100100000111101
32122020122122202120110010200
410210310022220230200331
510114140030124101023
6110443544253354113
74144526254544346
oct444641250544075
978218582513120
1020122100222013
116458809aa2029
12230b96a798939
13b2c67663600a
144d7cb44ab0cd
1524d64e3e9743
hex124d0aa2c83d

20122100222013 has 12 divisors (see below), whose sum is σ = 30067506079260. Its totient is φ = 12952156464576.

The previous prime is 20122100222009. The next prime is 20122100222027. The reversal of 20122100222013 is 31022200122102.

It can be written as a sum of positive squares in 2 ways, for example, as 10623049527204 + 9499050694809 = 3259302^2 + 3082053^2 .

It is not a de Polignac number, because 20122100222013 - 22 = 20122100222009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122100722013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38548084456 + ... + 38548084977.

It is an arithmetic number, because the mean of its divisors is an integer number (2505625506605).

Almost surely, 220122100222013 is an apocalyptic number.

It is an amenable number.

20122100222013 is a deficient number, since it is larger than the sum of its proper divisors (9945405857247).

20122100222013 is a wasteful number, since it uses less digits than its factorization.

20122100222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77096169468 (or 77096169465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20122100222013 its reverse (31022200122102), we get a palindrome (51144300344115).

The spelling of 20122100222013 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 29 87 261 77096169433 231288508299 693865524897 2235788913557 6707366740671 20122100222013