Search a number
-
+
122202210101281 is a prime number
BaseRepresentation
bin11011110010010001101011…
…010100101110100000100001
3121000200102021010121100101221
4123302101223110232200201
5112004130111241220111
61111522530442055041
734511550454166212
oct3362215324564041
9530612233540357
10122202210101281
1135a34736884a82
1211857734aaa481
135325807b3a53b
14222689334b409
15e1db5eb1c371
hex6f246b52e821

122202210101281 has 2 divisors, whose sum is σ = 122202210101282. Its totient is φ = 122202210101280.

The previous prime is 122202210101243. The next prime is 122202210101297. The reversal of 122202210101281 is 182101012202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81352011616225 + 40850198485056 = 9019535^2 + 6391416^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202210101281 - 215 = 122202210068513 is a prime.

It is a super-2 number, since 2×1222022101012812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122202210101981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101105050640 + 61101105050641.

It is an arithmetic number, because the mean of its divisors is an integer number (61101105050641).

Almost surely, 2122202210101281 is an apocalyptic number.

It is an amenable number.

122202210101281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202210101281 is an equidigital number, since it uses as much as digits as its factorization.

122202210101281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 25.

The spelling of 122202210101281 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred ten million, one hundred one thousand, two hundred eighty-one".