Search a number
-
+
1064667101 is a prime number
BaseRepresentation
bin111111011101011…
…000011111011101
32202012100200200212
4333131120133131
54140023321401
6253351302205
735245343501
oct7735303735
92665320625
101064667101
114a6a82173
1225867a965
1313c75c544
14a1582301
1563706dbb
hex3f7587dd

1064667101 has 2 divisors, whose sum is σ = 1064667102. Its totient is φ = 1064667100.

The previous prime is 1064667089. The next prime is 1064667103. The reversal of 1064667101 is 1017664601.

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., 1056315001 + 8352100 = 32501^2 + 2890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1064667101 is a prime.

It is a super-2 number, since 2×10646671012 = 2267032071903488402, which contains 22 as substring.

Together with 1064667103, 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 (1064667103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 532333550 + 532333551.

It is an arithmetic number, because the mean of its divisors is an integer number (532333551).

Almost surely, 21064667101 is an apocalyptic number.

It is an amenable number.

1064667101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1064667101 is an equidigital number, since it uses as much as digits as its factorization.

1064667101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1064667101 is about 32629.2369049599. The cubic root of 1064667101 is about 1021.1070579830.

The spelling of 1064667101 in words is "one billion, sixty-four million, six hundred sixty-seven thousand, one hundred one".