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213113819 = 17113110939
BaseRepresentation
bin11001011001111…
…01101111011011
3112212000022012102
430230331233123
5414024120234
633051434015
75165303042
oct1454755733
9485008172
10213113819
11aa32a626
125b45590b
13351c9269
1420437559
1513a99c7e
hexcb3dbdb

213113819 has 8 divisors (see below), whose sum is σ = 227648880. Its totient is φ = 198800896.

The previous prime is 213113783. The next prime is 213113851. The reversal of 213113819 is 918311312.

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 213113819 - 212 = 213109723 is a prime.

It is a super-2 number, since 2×2131138192 = 90834999697529522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213113791 and 213113800.

It is not an unprimeable number, because it can be changed into a prime (213110819) 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, 53549 + ... + 57390.

It is an arithmetic number, because the mean of its divisors is an integer number (28456110).

Almost surely, 2213113819 is an apocalyptic number.

213113819 is a deficient number, since it is larger than the sum of its proper divisors (14535061).

213113819 is a wasteful number, since it uses less digits than its factorization.

213113819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111069.

The product of its digits is 1296, while the sum is 29.

The square root of 213113819 is about 14598.4183732348. The cubic root of 213113819 is about 597.3156182535.

The spelling of 213113819 in words is "two hundred thirteen million, one hundred thirteen thousand, eight hundred nineteen".

Divisors: 1 17 113 1921 110939 1885963 12536107 213113819