Search a number
-
+
10222129481 is a prime number
BaseRepresentation
bin10011000010100100…
…10101000101001001
3222101101201222111012
421201102111011021
5131413331120411
64410155413305
7511212444524
oct114122250511
928341658435
1010222129481
1143761421a3
121b93454235
13c6ba22235
146cd865bbb
153ec63918b
hex261495149

10222129481 has 2 divisors, whose sum is σ = 10222129482. Its totient is φ = 10222129480.

The previous prime is 10222129457. The next prime is 10222129501. The reversal of 10222129481 is 18492122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9900250000 + 321879481 = 99500^2 + 17941^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222129481 - 26 = 10222129417 is a prime.

It is a super-2 number, since 2×102221294812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10222129681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111064740 + 5111064741.

It is an arithmetic number, because the mean of its divisors is an integer number (5111064741).

Almost surely, 210222129481 is an apocalyptic number.

It is an amenable number.

10222129481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222129481 is an equidigital number, since it uses as much as digits as its factorization.

10222129481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10222129481 in words is "ten billion, two hundred twenty-two million, one hundred twenty-nine thousand, four hundred eighty-one".