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211313213 = 17233531531
BaseRepresentation
bin11001001100001…
…10001000111101
3112201121211020022
430212012020331
5413044010323
632545101525
75144063336
oct1446061075
9481554208
10211313213
11a930a821
125a9278a5
1334a18807
14200c928d
15138414c8
hexc98623d

211313213 has 16 divisors (see below), whose sum is σ = 234285696. Its totient is φ = 189573120.

The previous prime is 211313209. The next prime is 211313257. The reversal of 211313213 is 312313112.

It is not a de Polignac number, because 211313213 - 22 = 211313209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211313191 and 211313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137258 + ... + 138788.

It is an arithmetic number, because the mean of its divisors is an integer number (14642856).

Almost surely, 2211313213 is an apocalyptic number.

211313213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211313213 is a deficient number, since it is larger than the sum of its proper divisors (22972483).

211313213 is a wasteful number, since it uses less digits than its factorization.

211313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924.

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

The square root of 211313213 is about 14536.6162844040. The cubic root of 211313213 is about 595.6286113550.

Adding to 211313213 its reverse (312313112), we get a palindrome (523626325).

The spelling of 211313213 in words is "two hundred eleven million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 17 23 353 391 1531 6001 8119 26027 35213 138023 540443 598621 9187531 12430189 211313213