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100002220013 is a prime number
BaseRepresentation
bin101110100100010011…
…0001100011111101101
3100120010022211010112102
41131020212030133231
53114301032020023
6113535042344445
710140101562563
oct1351046143755
9316108733472
10100002220013
1139457712023
121746a65b125
139579109067
144ba947ba33
152904527628
hex174898c7ed

100002220013 has 2 divisors, whose sum is σ = 100002220014. Its totient is φ = 100002220012.

The previous prime is 100002219997. The next prime is 100002220033. The reversal of 100002220013 is 310022200001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57836883049 + 42165336964 = 240493^2 + 205342^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002220013 - 24 = 100002219997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002219976 and 100002220003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002220033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001110006 + 50001110007.

It is an arithmetic number, because the mean of its divisors is an integer number (50001110007).

Almost surely, 2100002220013 is an apocalyptic number.

It is an amenable number.

100002220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002220013 is an equidigital number, since it uses as much as digits as its factorization.

100002220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100002220013 its reverse (310022200001), we get a palindrome (410024420014).

The spelling of 100002220013 in words is "one hundred billion, two million, two hundred twenty thousand, thirteen".