Search a number
-
+
111012333329 is a prime number
BaseRepresentation
bin110011101100011011…
…0011100011100010001
3101121112122021211122002
41213120312130130101
53304323124131304
6122555351323345
711006663156402
oct1473066343421
9347478254562
10111012333329
1143097628127
1219621980555
13a612164a01
1455318219a9
152d4ae1331e
hex19d8d9c711

111012333329 has 2 divisors, whose sum is σ = 111012333330. Its totient is φ = 111012333328.

The previous prime is 111012333317. The next prime is 111012333349. The reversal of 111012333329 is 923333210111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99998250625 + 11014082704 = 316225^2 + 104948^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012333329 - 28 = 111012333073 is a prime.

It is a super-2 number, since 2×1110123333292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111012333349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506166664 + 55506166665.

It is an arithmetic number, because the mean of its divisors is an integer number (55506166665).

Almost surely, 2111012333329 is an apocalyptic number.

It is an amenable number.

111012333329 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012333329 is an equidigital number, since it uses as much as digits as its factorization.

111012333329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 111012333329 in words is "one hundred eleven billion, twelve million, three hundred thirty-three thousand, three hundred twenty-nine".