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120202002013 is a prime number
BaseRepresentation
bin110111111110010011…
…0001111111001011101
3102111021002021101011111
41233330212033321131
53432133203031023
6131115310022021
711453501105362
oct1577446177135
9374232241144
10120202002013
1146a82995235
121b3674a7911
13b447cc29a2
145b640ca469
1531d7aa800d
hex1bfc98fe5d

120202002013 has 2 divisors, whose sum is σ = 120202002014. Its totient is φ = 120202002012.

The previous prime is 120202002007. The next prime is 120202002029. The reversal of 120202002013 is 310200202021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69654822084 + 50547179929 = 263922^2 + 224827^2 .

It is an emirp because it is prime and its reverse (310200202021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120202002013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120202001984 and 120202002002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120202002073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60101001006 + 60101001007.

It is an arithmetic number, because the mean of its divisors is an integer number (60101001007).

Almost surely, 2120202002013 is an apocalyptic number.

It is an amenable number.

120202002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

120202002013 is an equidigital number, since it uses as much as digits as its factorization.

120202002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 120202002013 its reverse (310200202021), we get a palindrome (430402204034).

The spelling of 120202002013 in words is "one hundred twenty billion, two hundred two million, two thousand, thirteen".