Search a number
-
+
102203201200301 is a prime number
BaseRepresentation
bin10111001111010000001001…
…100000001010000010101101
3111101212112022211001220000022
4113033100021200022002231
5101343444124001402201
61001211300310411525
730345636413303645
oct2717201140120255
9441775284056008
10102203201200301
112a624152711343
12b5677b9360ba5
134504949c98436
141b349389a1525
15bc3816caa41b
hex5cf40980a0ad

102203201200301 has 2 divisors, whose sum is σ = 102203201200302. Its totient is φ = 102203201200300.

The previous prime is 102203201200253. The next prime is 102203201200313. The reversal of 102203201200301 is 103002102302201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64077639532201 + 38125561668100 = 8004851^2 + 6174590^2 .

It is a cyclic number.

It is not a de Polignac number, because 102203201200301 - 234 = 102186021331117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102203201200301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102203201200351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101600600150 + 51101600600151.

It is an arithmetic number, because the mean of its divisors is an integer number (51101600600151).

Almost surely, 2102203201200301 is an apocalyptic number.

It is an amenable number.

102203201200301 is a deficient number, since it is larger than the sum of its proper divisors (1).

102203201200301 is an equidigital number, since it uses as much as digits as its factorization.

102203201200301 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 17.

Adding to 102203201200301 its reverse (103002102302201), we get a palindrome (205205303502502).

The spelling of 102203201200301 in words is "one hundred two trillion, two hundred three billion, two hundred one million, two hundred thousand, three hundred one".