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1111100117 is a prime number
BaseRepresentation
bin100001000111010…
…0000101011010101
32212102201201211012
41002032200223111
54233420200432
6302130422005
736351123641
oct10216405325
92772651735
101111100117
11520206a66
12270131905
131492691ba
14a77cbc21
1567829cb2
hex423a0ad5

1111100117 has 2 divisors, whose sum is σ = 1111100118. Its totient is φ = 1111100116.

The previous prime is 1111100101. The next prime is 1111100131. The reversal of 1111100117 is 7110011111.

It is an a-pointer prime, because the next prime (1111100131) can be obtained adding 1111100117 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 729054001 + 382046116 = 27001^2 + 19546^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111100117 - 24 = 1111100101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1111100197) 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, 555550058 + 555550059.

It is an arithmetic number, because the mean of its divisors is an integer number (555550059).

Almost surely, 21111100117 is an apocalyptic number.

It is an amenable number.

1111100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111100117 is an equidigital number, since it uses as much as digits as its factorization.

1111100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

The square root of 1111100117 is about 33333.1684212587. The cubic root of 1111100117 is about 1035.7407525141.

Adding to 1111100117 its reverse (7110011111), we get a palindrome (8221111228).

The spelling of 1111100117 in words is "one billion, one hundred eleven million, one hundred thousand, one hundred seventeen".