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10114240441 is a prime number
BaseRepresentation
bin10010110101101101…
…10000111110111001
3222002212201122112211
421122312300332321
5131203221143231
64351343135121
7505432424314
oct113266607671
928085648484
1010114240441
1143202525a8
121b632a44a1
13c52578976
146bd3bd97b
153e2e26eb1
hex25adb0fb9

10114240441 has 2 divisors, whose sum is σ = 10114240442. Its totient is φ = 10114240440.

The previous prime is 10114240393. The next prime is 10114240453. The reversal of 10114240441 is 14404241101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9832705600 + 281534841 = 99160^2 + 16779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10114240441 is a prime.

It is not a weakly prime, because it can be changed into another prime (10114243441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057120220 + 5057120221.

It is an arithmetic number, because the mean of its divisors is an integer number (5057120221).

Almost surely, 210114240441 is an apocalyptic number.

It is an amenable number.

10114240441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114240441 is an equidigital number, since it uses as much as digits as its factorization.

10114240441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10114240441 its reverse (14404241101), we get a palindrome (24518481542).

The spelling of 10114240441 in words is "ten billion, one hundred fourteen million, two hundred forty thousand, four hundred forty-one".