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100011332213 = 1319404904179
BaseRepresentation
bin101110100100100100…
…0111101001001110101
3100120010221222002010022
41131021020331021311
53114310400112323
6113540005534525
710140242204012
oct1351110751165
9316127862108
10100011332213
1139461876171
1217471714445
13957ac797b0
144baa770709
1529052274c8
hex174923d275

100011332213 has 8 divisors (see below), whose sum is σ = 113373170400. Its totient is φ = 87459302448.

The previous prime is 100011332209. The next prime is 100011332219. The reversal of 100011332213 is 312233110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100011332213 - 22 = 100011332209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011332191 and 100011332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011332219) 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 in 7 ways as a sum of consecutive naturals, for example, 202451843 + ... + 202452336.

It is an arithmetic number, because the mean of its divisors is an integer number (14171646300).

Almost surely, 2100011332213 is an apocalyptic number.

100011332213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100011332213 is a deficient number, since it is larger than the sum of its proper divisors (13361838187).

100011332213 is a wasteful number, since it uses less digits than its factorization.

100011332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404904211.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100011332213 its reverse (312233110001), we get a palindrome (412244442214).

The spelling of 100011332213 in words is "one hundred billion, eleven million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 13 19 247 404904179 5263754327 7693179401 100011332213