Search a number
-
+
10166774117 is a prime number
BaseRepresentation
bin10010111011111110…
…01010100101100101
3222020112120122012112
421131333022211211
5131310143232432
64400501130405
7506641103603
oct113577124545
928215518175
1010166774117
114347973965
121b789b9a05
13c60410396
146c6376873
153e78527b2
hex25dfca965

10166774117 has 2 divisors, whose sum is σ = 10166774118. Its totient is φ = 10166774116.

The previous prime is 10166774069. The next prime is 10166774119. The reversal of 10166774117 is 71147766101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6184406881 + 3982367236 = 78641^2 + 63106^2 .

It is a cyclic number.

It is not a de Polignac number, because 10166774117 - 222 = 10162579813 is a prime.

It is a super-2 number, since 2×101667741172 (a number of 21 digits) contains 22 as substring.

Together with 10166774119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10166774119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083387058 + 5083387059.

It is an arithmetic number, because the mean of its divisors is an integer number (5083387059).

Almost surely, 210166774117 is an apocalyptic number.

It is an amenable number.

10166774117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10166774117 is an equidigital number, since it uses as much as digits as its factorization.

10166774117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49392, while the sum is 41.

The spelling of 10166774117 in words is "ten billion, one hundred sixty-six million, seven hundred seventy-four thousand, one hundred seventeen".