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22123012013 = 53571773013
BaseRepresentation
bin10100100110101000…
…100101111110101101
32010002210100110020022
4110212220211332231
5330301442341023
614055124531525
71412141333204
oct244650457655
963083313208
1022123012013
119422955403
124354b50ba5
132117491b6b
1410dc24223b
1589732b7c8
hex526a25fad

22123012013 has 8 divisors (see below), whose sum is σ = 22544678808. Its totient is φ = 21701502784.

The previous prime is 22123011959. The next prime is 22123012027. The reversal of 22123012013 is 31021032122.

It can be written as a sum of positive squares in 4 ways, for example, as 9398720809 + 12724291204 = 96947^2 + 112802^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22123012013 - 224 = 22106234797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22123011982 and 22123012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123012073) 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 7 ways as a sum of consecutive naturals, for example, 266495 + ... + 339507.

It is an arithmetic number, because the mean of its divisors is an integer number (2818084851).

Almost surely, 222123012013 is an apocalyptic number.

It is an amenable number.

22123012013 is a deficient number, since it is larger than the sum of its proper divisors (421666795).

22123012013 is an equidigital number, since it uses as much as digits as its factorization.

22123012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78783.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22123012013 its reverse (31021032122), we get a palindrome (53144044135).

The spelling of 22123012013 in words is "twenty-two billion, one hundred twenty-three million, twelve thousand, thirteen".

Divisors: 1 53 5717 73013 303001 3869689 417415321 22123012013