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300202200013 is a prime number
BaseRepresentation
bin1000101111001010111…
…00100000101111001101
31001200212121101212000111
410113211130200233031
514404303230400023
6345524435000021
730455201411632
oct4274534405715
91050777355014
10300202200013
11106351352151
124a221139011
13224029a63a1
141075bd38189
157c2030000d
hex45e5720bcd

300202200013 has 2 divisors, whose sum is σ = 300202200014. Its totient is φ = 300202200012.

The previous prime is 300202199993. The next prime is 300202200043. The reversal of 300202200013 is 310002202003.

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., 299933666244 + 268533769 = 547662^2 + 16387^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300202200013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300202199966 and 300202200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300202200043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150101100006 + 150101100007.

It is an arithmetic number, because the mean of its divisors is an integer number (150101100007).

Almost surely, 2300202200013 is an apocalyptic number.

It is an amenable number.

300202200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300202200013 is an equidigital number, since it uses as much as digits as its factorization.

300202200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 300202200013 its reverse (310002202003), we get a palindrome (610204402016).

The spelling of 300202200013 in words is "three hundred billion, two hundred two million, two hundred thousand, thirteen".