Search a number
-
+
102200120000149 is a prime number
BaseRepresentation
bin10111001111001101010001…
…110110010011111010010101
3111101212020101002020201000011
4113033031101312103322111
5101343421321210001044
61001210030441520221
730345500150446063
oct2717152166237225
9441766332221004
10102200120000149
112a622911430036
12b5670994a3071
134504578823492
141b3472569d033
15bc36d6527134
hex5cf351d93e95

102200120000149 has 2 divisors, whose sum is σ = 102200120000150. Its totient is φ = 102200120000148.

The previous prime is 102200120000113. The next prime is 102200120000197. The reversal of 102200120000149 is 941000021002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97825254142225 + 4374865857924 = 9890665^2 + 2091618^2 .

It is an emirp because it is prime and its reverse (941000021002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102200120000149 - 211 = 102200119998101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200120040149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100060000074 + 51100060000075.

It is an arithmetic number, because the mean of its divisors is an integer number (51100060000075).

Almost surely, 2102200120000149 is an apocalyptic number.

It is an amenable number.

102200120000149 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200120000149 is an equidigital number, since it uses as much as digits as its factorization.

102200120000149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 102200120000149 in words is "one hundred two trillion, two hundred billion, one hundred twenty million, one hundred forty-nine", and thus it is an aban number.