Search a number
-
+
1122101441 is a prime number
BaseRepresentation
bin100001011100001…
…1110100011000001
32220012102122210122
41002320132203001
54244224221231
6303202310025
736543463526
oct10270364301
92805378718
101122101441
1152644046a
12273958315
1314b61b766
14a905314d
156879e77b
hex42e1e8c1

1122101441 has 2 divisors, whose sum is σ = 1122101442. Its totient is φ = 1122101440.

The previous prime is 1122101429. The next prime is 1122101447. The reversal of 1122101441 is 1441012211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 661569841 + 460531600 = 25721^2 + 21460^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122101441 - 210 = 1122100417 is a prime.

It is a super-2 number, since 2×11221014412 = 2518223287788552962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1122101447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561050720 + 561050721.

It is an arithmetic number, because the mean of its divisors is an integer number (561050721).

Almost surely, 21122101441 is an apocalyptic number.

It is an amenable number.

1122101441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122101441 is an equidigital number, since it uses as much as digits as its factorization.

1122101441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1122101441 is about 33497.7826281084. The cubic root of 1122101441 is about 1039.1479217153.

Adding to 1122101441 its reverse (1441012211), we get a palindrome (2563113652).

The spelling of 1122101441 in words is "one billion, one hundred twenty-two million, one hundred one thousand, four hundred forty-one".