Search a number
-
+
1022101102229 is a prime number
BaseRepresentation
bin11101101111110011111…
…10010001111010010101
310121201012222112202010212
432313321332101322111
5113221230340232404
62101314033455205
7133562422010264
oct16677176217225
93551188482125
101022101102229
1136451a476139
1214610b711505
13754cb058c1c
14376817c45db
151b8c1bb606e
hexedf9f91e95

1022101102229 has 2 divisors, whose sum is σ = 1022101102230. Its totient is φ = 1022101102228.

The previous prime is 1022101102223. The next prime is 1022101102241. The reversal of 1022101102229 is 9222011012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 859510701604 + 162590400625 = 927098^2 + 403225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022101102229 is a prime.

It is a super-3 number, since 3×10221011022293 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022101102223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050551114 + 511050551115.

It is an arithmetic number, because the mean of its divisors is an integer number (511050551115).

Almost surely, 21022101102229 is an apocalyptic number.

It is an amenable number.

1022101102229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022101102229 is an equidigital number, since it uses as much as digits as its factorization.

1022101102229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 1022101102229 in words is "one trillion, twenty-two billion, one hundred one million, one hundred two thousand, two hundred twenty-nine".