Search a number
-
+
2100020222149 is a prime number
BaseRepresentation
bin11110100011110010111…
…101011001100011000101
321102202112000112120210021
4132203302331121203011
5233401320134102044
64244422545255141
7304502313236203
oct36436275314305
97382460476707
102100020222149
1173a682739103
1229abb86344b1
13123053304385
14738da496073
153995ddade84
hex1e8f2f598c5

2100020222149 has 2 divisors, whose sum is σ = 2100020222150. Its totient is φ = 2100020222148.

The previous prime is 2100020222101. The next prime is 2100020222177. The reversal of 2100020222149 is 9412220200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1222753831524 + 877266390625 = 1105782^2 + 936625^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100020222149 - 235 = 2065660483781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100020222749) 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, 1050010111074 + 1050010111075.

It is an arithmetic number, because the mean of its divisors is an integer number (1050010111075).

Almost surely, 22100020222149 is an apocalyptic number.

It is an amenable number.

2100020222149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100020222149 is an equidigital number, since it uses as much as digits as its factorization.

2100020222149 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 2100020222149 in words is "two trillion, one hundred billion, twenty million, two hundred twenty-two thousand, one hundred forty-nine".