Search a number
-
+
10132131227 is a prime number
BaseRepresentation
bin10010110111110110…
…00000110110011011
3222011010101121002112
421123323000312123
5131222311144402
64353222422535
7506040460121
oct113373006633
928133347075
1010132131227
11432a362179
121b69291a4b
13c561a102a
146c1919911
153e47ace52
hex25bec0d9b

10132131227 has 2 divisors, whose sum is σ = 10132131228. Its totient is φ = 10132131226.

The previous prime is 10132131209. The next prime is 10132131241. The reversal of 10132131227 is 72213123101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10132131227 - 228 = 9863695771 is a prime.

It is a super-3 number, since 3×101321312273 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10132101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066065613 + 5066065614.

It is an arithmetic number, because the mean of its divisors is an integer number (5066065614).

Almost surely, 210132131227 is an apocalyptic number.

10132131227 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132131227 is an equidigital number, since it uses as much as digits as its factorization.

10132131227 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 10132131227 its reverse (72213123101), we get a palindrome (82345254328).

The spelling of 10132131227 in words is "ten billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty-seven".