Search a number
-
+
2022201103837 is a prime number
BaseRepresentation
bin11101011011010100100…
…101000001010111011101
321011022122200010210001011
4131123110211001113131
5231112431440310322
64144553015415221
7266046012526225
oct35332445012735
97138580123034
102022201103837
1170a679893792
12287abb084511
13118900c68bc5
146dc3721d085
15379070d2677
hex1d6d49415dd

2022201103837 has 2 divisors, whose sum is σ = 2022201103838. Its totient is φ = 2022201103836.

The previous prime is 2022201103711. The next prime is 2022201103841. The reversal of 2022201103837 is 7383011022202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1872576033241 + 149625070596 = 1368421^2 + 386814^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022201103837 - 215 = 2022201071069 is a prime.

It is a super-2 number, since 2×20222011038372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022201103799 and 2022201103808.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022201100837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011100551918 + 1011100551919.

It is an arithmetic number, because the mean of its divisors is an integer number (1011100551919).

Almost surely, 22022201103837 is an apocalyptic number.

It is an amenable number.

2022201103837 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022201103837 is an equidigital number, since it uses as much as digits as its factorization.

2022201103837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 2022201103837 in words is "two trillion, twenty-two billion, two hundred one million, one hundred three thousand, eight hundred thirty-seven".