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213113112303 = 37131187657653
BaseRepresentation
bin1100011001111010001…
…0000000011011101111
3202101002012220210212110
43012132202000123233
511442423424043203
6241523001335103
721253066365060
oct3063642003357
9671065823773
10213113112303
11824208835a3
1235377197493
1317133c75a20
14a459892567
1558247bad03
hex319e8806ef

213113112303 has 32 divisors (see below), whose sum is σ = 350019242496. Its totient is φ = 112316439168.

The previous prime is 213113112283. The next prime is 213113112323. The reversal of 213113112303 is 303211311312.

It is a happy number.

213113112303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213113112283) and next prime (213113112323).

It is not a de Polignac number, because 213113112303 - 25 = 213113112271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 213113112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113112323) 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 31 ways as a sum of consecutive naturals, for example, 4776 + ... + 652877.

It is an arithmetic number, because the mean of its divisors is an integer number (10938101328).

Almost surely, 2213113112303 is an apocalyptic number.

213113112303 is a deficient number, since it is larger than the sum of its proper divisors (136906130193).

213113112303 is a wasteful number, since it uses less digits than its factorization.

213113112303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658863.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213113112303 its reverse (303211311312), we get a palindrome (516324423615).

The spelling of 213113112303 in words is "two hundred thirteen billion, one hundred thirteen million, one hundred twelve thousand, three hundred three".

Divisors: 1 3 7 13 21 39 91 273 1187 3561 8309 15431 24927 46293 108017 324051 657653 1972959 4603571 8549489 13810713 25648467 59846423 179539269 780634111 2341902333 5464438777 10148243443 16393316331 30444730329 71037704101 213113112303