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1211113117 is a prime number
BaseRepresentation
bin100100000110000…
…0001111010011101
310010101220220212101
41020030001322131
54440021104432
6320102205101
742004202014
oct11014017235
93111826771
101211113117
11571707235
12299723791
13163bb58a6
14b6bc3a7b
15714d34e7
hex48301e9d

1211113117 has 2 divisors, whose sum is σ = 1211113118. Its totient is φ = 1211113116.

The previous prime is 1211113097. The next prime is 1211113121. The reversal of 1211113117 is 7113111121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1202286276 + 8826841 = 34674^2 + 2971^2 .

It is an emirp because it is prime and its reverse (7113111121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1211113117 - 227 = 1076895389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211113094 and 1211113103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1211113147) 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, 605556558 + 605556559.

It is an arithmetic number, because the mean of its divisors is an integer number (605556559).

Almost surely, 21211113117 is an apocalyptic number.

It is an amenable number.

1211113117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1211113117 is an equidigital number, since it uses as much as digits as its factorization.

1211113117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 19.

The square root of 1211113117 is about 34801.0505157531. The cubic root of 1211113117 is about 1065.9288969397.

Adding to 1211113117 its reverse (7113111121), we get a palindrome (8324224238).

The spelling of 1211113117 in words is "one billion, two hundred eleven million, one hundred thirteen thousand, one hundred seventeen".