Search a number
-
+
100011112213 = 808712366899
BaseRepresentation
bin101110100100100100…
…0000111011100010101
3100120010221112220100011
41131021020013130111
53114310321042323
6113540001120221
710140240266425
oct1351110073425
9316127486304
10100011112213
1139461735951
1217471629071
13957ac0060c
144baa714485
1529051d220d
hex1749207715

100011112213 has 4 divisors (see below), whose sum is σ = 100023487200. Its totient is φ = 99998737228.

The previous prime is 100011112207. The next prime is 100011112219. The reversal of 100011112213 is 312211110001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (100011112207) and next prime (100011112219).

It is a cyclic number.

It is not a de Polignac number, because 100011112213 - 225 = 99977557781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011112193 and 100011112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6175363 + ... + 6191536.

It is an arithmetic number, because the mean of its divisors is an integer number (25005871800).

Almost surely, 2100011112213 is an apocalyptic number.

It is an amenable number.

100011112213 is a deficient number, since it is larger than the sum of its proper divisors (12374987).

100011112213 is an equidigital number, since it uses as much as digits as its factorization.

100011112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12374986.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100011112213 its reverse (312211110001), we get a palindrome (412222222214).

The spelling of 100011112213 in words is "one hundred billion, eleven million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 8087 12366899 100011112213