Search a number
-
+
101046269 is a prime number
BaseRepresentation
bin1100000010111…
…01011111111101
321001010200102102
412001131133331
5201331440034
614005434445
72334610352
oct601353775
9231120372
10101046269
1152046615
1229a0ba25
1317c1babc
14d5c4629
158d0e97e
hex605d7fd

101046269 has 2 divisors, whose sum is σ = 101046270. Its totient is φ = 101046268.

The previous prime is 101046247. The next prime is 101046271. The reversal of 101046269 is 962640101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91968100 + 9078169 = 9590^2 + 3013^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101046269 is a prime.

It is a super-2 number, since 2×1010462692 = 20420696957640722, which contains 22 as substring.

Together with 101046271, 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 (101046289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50523134 + 50523135.

It is an arithmetic number, because the mean of its divisors is an integer number (50523135).

Almost surely, 2101046269 is an apocalyptic number.

It is an amenable number.

101046269 is a deficient number, since it is larger than the sum of its proper divisors (1).

101046269 is an equidigital number, since it uses as much as digits as its factorization.

101046269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 101046269 is about 10052.1773263308. The cubic root of 101046269 is about 465.7720538423.

The spelling of 101046269 in words is "one hundred one million, forty-six thousand, two hundred sixty-nine".