Search a number
-
+
10012202200249 is a prime number
BaseRepresentation
bin1001000110110010010111…
…0000010110110010111001
31022110011020120211020202221
42101230211300112302321
52303014442230401444
633143313040324041
72052233463341164
oct221544560266271
938404216736687
1010012202200249
113210173140737
121158522313621
135781ba167962
14268843942adb
15125691304a84
hex91b25c16cb9

10012202200249 has 2 divisors, whose sum is σ = 10012202200250. Its totient is φ = 10012202200248.

The previous prime is 10012202200201. The next prime is 10012202200261. The reversal of 10012202200249 is 94200220221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9085208732224 + 926993468025 = 3014168^2 + 962805^2 .

It is an emirp because it is prime and its reverse (94200220221001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10012202200249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012202210249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006101100124 + 5006101100125.

It is an arithmetic number, because the mean of its divisors is an integer number (5006101100125).

Almost surely, 210012202200249 is an apocalyptic number.

It is an amenable number.

10012202200249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012202200249 is an equidigital number, since it uses as much as digits as its factorization.

10012202200249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 10012202200249 in words is "ten trillion, twelve billion, two hundred two million, two hundred thousand, two hundred forty-nine".