Search a number
-
+
21274742201 is a prime number
BaseRepresentation
bin10011110100000100…
…101100110110111001
32000220200011212210212
4103310010230312321
5322032313222301
613435023320505
71352131216316
oct236404546671
960820155725
1021274742201
119028045779
124158a50135
13201080b26b
14105b70dd0d
15847b1c4bb
hex4f412cdb9

21274742201 has 2 divisors, whose sum is σ = 21274742202. Its totient is φ = 21274742200.

The previous prime is 21274742119. The next prime is 21274742219. The reversal of 21274742201 is 10224747212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21214213801 + 60528400 = 145651^2 + 7780^2 .

It is a cyclic number.

It is not a de Polignac number, because 21274742201 - 210 = 21274741177 is a prime.

It is a super-2 number, since 2×212747422012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21274742261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10637371100 + 10637371101.

It is an arithmetic number, because the mean of its divisors is an integer number (10637371101).

Almost surely, 221274742201 is an apocalyptic number.

It is an amenable number.

21274742201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21274742201 is an equidigital number, since it uses as much as digits as its factorization.

21274742201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12544, while the sum is 32.

The spelling of 21274742201 in words is "twenty-one billion, two hundred seventy-four million, seven hundred forty-two thousand, two hundred one".