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22123341240013 = 1311939173155509
BaseRepresentation
bin1010000011110111111011…
…11001010101011011001101
32220022222012200121112202101
411001323331321111123031
510344432100324140023
6115015153405555101
74442234006535616
oct501737571253315
986288180545671
1022123341240013
11705a502415022
12259379a275a91
13c462b7023860
14566abdac6c0d
1528572b3161ad
hex141efde556cd

22123341240013 has 16 divisors (see below), whose sum is σ = 23847860337840. Its totient is φ = 20402072354304.

The previous prime is 22123341239947. The next prime is 22123341240029. The reversal of 22123341240013 is 31004214332122.

It can be written as a sum of positive squares in 8 ways, for example, as 3706772388804 + 18416568851209 = 1925298^2 + 4291453^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123341240013 - 225 = 22123307685581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123341244013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142186303 + ... + 142341811.

It is an arithmetic number, because the mean of its divisors is an integer number (1490491271115).

Almost surely, 222123341240013 is an apocalyptic number.

It is an amenable number.

22123341240013 is a deficient number, since it is larger than the sum of its proper divisors (1724519097827).

22123341240013 is a wasteful number, since it uses less digits than its factorization.

22123341240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165888.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 22123341240013 its reverse (31004214332122), we get a palindrome (53127555572135).

The spelling of 22123341240013 in words is "twenty-two trillion, one hundred twenty-three billion, three hundred forty-one million, two hundred forty thousand, thirteen".

Divisors: 1 13 1193 9173 15509 119249 155509 2021617 10943389 142264057 185522237 1426484057 2411789081 18544292741 1701795480001 22123341240013