Search a number
-
+
101514241 is a prime number
BaseRepresentation
bin1100000110011…
…11110000000001
321002000110100201
412003033300001
5201441423431
614023445201
72341566613
oct603176001
9232013321
10101514241
1152336174
1229bb6801
1318053aca
14d6a6db3
158da3461
hex60cfc01

101514241 has 2 divisors, whose sum is σ = 101514242. Its totient is φ = 101514240.

The previous prime is 101514233. The next prime is 101514247. The reversal of 101514241 is 142415101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97121025 + 4393216 = 9855^2 + 2096^2 .

It is a cyclic number.

It is not a de Polignac number, because 101514241 - 23 = 101514233 is a prime.

It is a super-2 number, since 2×1015142412 = 20610282251612162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101514247) 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, 50757120 + 50757121.

It is an arithmetic number, because the mean of its divisors is an integer number (50757121).

Almost surely, 2101514241 is an apocalyptic number.

It is an amenable number.

101514241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101514241 is an equidigital number, since it uses as much as digits as its factorization.

101514241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 101514241 is about 10075.4275839788. The cubic root of 101514241 is about 466.4899845330.

Adding to 101514241 its reverse (142415101), we get a palindrome (243929342).

The spelling of 101514241 in words is "one hundred one million, five hundred fourteen thousand, two hundred forty-one".