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1023114240241 is a prime number
BaseRepresentation
bin11101110001101100101…
…11000110000011110001
310121210211120221111012221
432320312113012003301
5113230314221141431
62102002344521041
7133626503360362
oct16706627060361
93553746844187
101023114240241
1136499a352785
12146352a80181
137562cc16082
143773a191b69
151b930ae0111
hexee365c60f1

1023114240241 has 2 divisors, whose sum is σ = 1023114240242. Its totient is φ = 1023114240240.

The previous prime is 1023114240227. The next prime is 1023114240287. The reversal of 1023114240241 is 1420424113201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1018745030241 + 4369210000 = 1009329^2 + 66100^2 .

It is an emirp because it is prime and its reverse (1420424113201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023114240241 - 233 = 1014524305649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023114240341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511557120120 + 511557120121.

It is an arithmetic number, because the mean of its divisors is an integer number (511557120121).

Almost surely, 21023114240241 is an apocalyptic number.

It is an amenable number.

1023114240241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023114240241 is an equidigital number, since it uses as much as digits as its factorization.

1023114240241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1023114240241 its reverse (1420424113201), we get a palindrome (2443538353442).

The spelling of 1023114240241 in words is "one trillion, twenty-three billion, one hundred fourteen million, two hundred forty thousand, two hundred forty-one".