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200312220013 is a prime number
BaseRepresentation
bin1011101010001110001…
…0011110100101101101
3201011001002210002211121
42322203202132211231
511240214412020023
6232004442020541
720320631530303
oct2724342364555
9634032702747
10200312220013
1177a52031774
12329a41a7751
1315b73c08149
1499a3756273
155325a98d5d
hex2ea389e96d

200312220013 has 2 divisors, whose sum is σ = 200312220014. Its totient is φ = 200312220012.

The previous prime is 200312219993. The next prime is 200312220019. The reversal of 200312220013 is 310022213002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100868489604 + 99443730409 = 317598^2 + 315347^2 .

It is a cyclic number.

It is not a de Polignac number, because 200312220013 - 25 = 200312219981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200312220019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100156110006 + 100156110007.

It is an arithmetic number, because the mean of its divisors is an integer number (100156110007).

Almost surely, 2200312220013 is an apocalyptic number.

It is an amenable number.

200312220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200312220013 is an equidigital number, since it uses as much as digits as its factorization.

200312220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200312220013 its reverse (310022213002), we get a palindrome (510334433015).

It can be divided in two parts, 2003 and 12220013, that added together give a square (12222016 = 34962).

The spelling of 200312220013 in words is "two hundred billion, three hundred twelve million, two hundred twenty thousand, thirteen".