Search a number
-
+
10220122337 is a prime number
BaseRepresentation
bin10011000010010101…
…01011000011100001
3222101020222000012112
421201022223003201
5131412322403322
64410044405105
7511156415015
oct114112530341
928336860175
1010220122337
114374aa11a7
121b92846795
13c6b49b789
146cd4a2545
153ec38e5e2
hex2612ab0e1

10220122337 has 2 divisors, whose sum is σ = 10220122338. Its totient is φ = 10220122336.

The previous prime is 10220122307. The next prime is 10220122387. The reversal of 10220122337 is 73322102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9753735121 + 466387216 = 98761^2 + 21596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10220122337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10220122307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110061168 + 5110061169.

It is an arithmetic number, because the mean of its divisors is an integer number (5110061169).

Almost surely, 210220122337 is an apocalyptic number.

It is an amenable number.

10220122337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220122337 is an equidigital number, since it uses as much as digits as its factorization.

10220122337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 10220122337 its reverse (73322102201), we get a palindrome (83542224538).

The spelling of 10220122337 in words is "ten billion, two hundred twenty million, one hundred twenty-two thousand, three hundred thirty-seven".