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11000111331213 = 3237115128699711
BaseRepresentation
bin1010000000010010100110…
…1110100111011110001101
31102221121012200010220000200
42200010221232213132031
52420211212000044323
635221214213444113
72213506004401164
oct240045156473615
942847180126020
1011000111331213
11356113708a784
121297a8b040639
1361a3c9504304
142a05a02763db
1514121134b443
hexa0129ba778d

11000111331213 has 24 divisors (see below), whose sum is σ = 16332661702656. Its totient is φ = 7129007964000.

The previous prime is 11000111331199. The next prime is 11000111331323. The reversal of 11000111331213 is 31213311100011.

11000111331213 is a `hidden beast` number, since 1 + 10 + 0 + 0 + 111 + 331 + 213 = 666.

It is not a de Polignac number, because 11000111331213 - 225 = 11000077776781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000111331613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13966573 + ... + 14733138.

It is an arithmetic number, because the mean of its divisors is an integer number (680527570944).

Almost surely, 211000111331213 is an apocalyptic number.

It is an amenable number.

11000111331213 is a deficient number, since it is larger than the sum of its proper divisors (5332550371443).

11000111331213 is a wasteful number, since it uses less digits than its factorization.

11000111331213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28700905 (or 28700902 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11000111331213 its reverse (31213311100011), we get a palindrome (42213422431224).

The spelling of 11000111331213 in words is "eleven trillion, one hundred eleven million, three hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 37 111 333 1151 3453 10359 42587 127761 383283 28699711 86099133 258297399 1061889307 3185667921 9557003763 33033367361 99100102083 297300306249 1222234592357 3666703777071 11000111331213