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213819117 = 32973131257
BaseRepresentation
bin11001011111010…
…01111011101101
3112220100010200120
430233221323231
5414214202432
633114515153
75204301231
oct1457517355
9486303616
10213819117
11aa771516
125b735ab9
13353b52b5
142057c5c1
1513b88c2c
hexcbe9eed

213819117 has 32 divisors (see below), whose sum is σ = 302417280. Its totient is φ = 134184960.

The previous prime is 213819107. The next prime is 213819157. The reversal of 213819117 is 711918312.

It is not a de Polignac number, because 213819117 - 222 = 209624813 is a prime.

It is a super-2 number, since 2×2138191172 = 91437229589319378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213819107) 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, 831853 + ... + 832109.

It is an arithmetic number, because the mean of its divisors is an integer number (9450540).

Almost surely, 2213819117 is an apocalyptic number.

It is an amenable number.

213819117 is a deficient number, since it is larger than the sum of its proper divisors (88598163).

213819117 is a wasteful number, since it uses less digits than its factorization.

213819117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its digits is 3024, while the sum is 33.

The square root of 213819117 is about 14622.5550776873. Note that the first 3 decimals coincide. The cubic root of 213819117 is about 597.9738293115.

The spelling of 213819117 in words is "two hundred thirteen million, eight hundred nineteen thousand, one hundred seventeen".

Divisors: 1 3 29 73 87 131 219 257 393 771 2117 3799 6351 7453 9563 11397 18761 22359 28689 33667 56283 101001 277327 544069 831981 976343 1632207 2457691 2929029 7373073 71273039 213819117