Search a number
-
+
2202001202153 is a prime number
BaseRepresentation
bin100000000010110001011…
…111111101101111101001
321210111202020202010201202
4200002301133331233221
5242034144301432103
64403330235453545
7315042433251464
oct40026137755751
97714666663652
102202001202153
117799552aa865
122b69198b72b5
1312c85635bb1c
14788126602db
153c42bea0988
hex200b17fdbe9

2202001202153 has 2 divisors, whose sum is σ = 2202001202154. Its totient is φ = 2202001202152.

The previous prime is 2202001202101. The next prime is 2202001202183. The reversal of 2202001202153 is 3512021002022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1419250490329 + 782750711824 = 1191323^2 + 884732^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202001202153 - 212 = 2202001198057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202001202183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101000601076 + 1101000601077.

It is an arithmetic number, because the mean of its divisors is an integer number (1101000601077).

Almost surely, 22202001202153 is an apocalyptic number.

It is an amenable number.

2202001202153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202001202153 is an equidigital number, since it uses as much as digits as its factorization.

2202001202153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2202001202153 its reverse (3512021002022), we get a palindrome (5714022204175).

The spelling of 2202001202153 in words is "two trillion, two hundred two billion, one million, two hundred two thousand, one hundred fifty-three".