Search a number
-
+
10210011157 is a prime number
BaseRepresentation
bin10011000001001000…
…00110100000010101
3222100112221022021101
421200210012200111
5131402230324112
64405043550101
7511004443243
oct114044064025
928315838241
1010210011157
11436a315555
121b8b38b331
13c6936b428
146cbdcd793
153eb543757
hex260906815

10210011157 has 2 divisors, whose sum is σ = 10210011158. Its totient is φ = 10210011156.

The previous prime is 10210011103. The next prime is 10210011187. The reversal of 10210011157 is 75111001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5869704996 + 4340306161 = 76614^2 + 65881^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10210011157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210011187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005578 + 5105005579.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005579).

Almost surely, 210210011157 is an apocalyptic number.

It is an amenable number.

10210011157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210011157 is an equidigital number, since it uses as much as digits as its factorization.

10210011157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 10210011157 its reverse (75111001201), we get a palindrome (85321012358).

The spelling of 10210011157 in words is "ten billion, two hundred ten million, eleven thousand, one hundred fifty-seven".