Search a number
-
+
1086101761 is a prime number
BaseRepresentation
bin100000010111100…
…1001100100000001
32210200200200112011
41000233021210001
54211020224021
6255434532521
735625466303
oct10057114401
92720620464
101086101761
11508092368
12263897141
13144025984
14a4361973
156553cde1
hex40bc9901

1086101761 has 2 divisors, whose sum is σ = 1086101762. Its totient is φ = 1086101760.

The previous prime is 1086101759. The next prime is 1086101813. The reversal of 1086101761 is 1671016801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 634284225 + 451817536 = 25185^2 + 21256^2 .

It is a cyclic number.

It is not a de Polignac number, because 1086101761 - 21 = 1086101759 is a prime.

It is a super-2 number, since 2×10861017612 = 2359234070494602242, which contains 22 as substring.

Together with 1086101759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1086101741) 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, 543050880 + 543050881.

It is an arithmetic number, because the mean of its divisors is an integer number (543050881).

Almost surely, 21086101761 is an apocalyptic number.

It is an amenable number.

1086101761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1086101761 is an equidigital number, since it uses as much as digits as its factorization.

1086101761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 1086101761 is about 32956.0580318703. The cubic root of 1086101761 is about 1027.9141376933.

The spelling of 1086101761 in words is "one billion, eighty-six million, one hundred one thousand, seven hundred sixty-one".