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213100219 = 172191972
BaseRepresentation
bin11001011001110…
…10011010111011
3112211222121112201
430230322122323
5414023201334
633051251031
75165215303
oct1454723273
9484877481
10213100219
11aa320392
125b449a77
13351c3007
1420432603
1513a95c14
hexcb3a6bb

213100219 has 18 divisors (see below), whose sum is σ = 239502980. Its totient is φ = 189044352.

The previous prime is 213100201. The next prime is 213100243. The reversal of 213100219 is 912001312.

It is not a de Polignac number, because 213100219 - 29 = 213099707 is a prime.

It is a super-2 number, since 2×2131002192 = 90823406675695922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 213100196 and 213100205.

It is not an unprimeable number, because it can be changed into a prime (213100249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1081629 + ... + 1081825.

Almost surely, 2213100219 is an apocalyptic number.

213100219 is a deficient number, since it is larger than the sum of its proper divisors (26402761).

213100219 is an equidigital number, since it uses as much as digits as its factorization.

213100219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 213100219 is about 14597.9525619177. The cubic root of 213100219 is about 597.3029119521.

Multiplying 213100219 by its sum of digits (19), we get a square (4048904161 = 636312).

213100219 divided by its sum of digits (19) gives a square (11215801 = 33492).

The spelling of 213100219 in words is "two hundred thirteen million, one hundred thousand, two hundred nineteen".

Divisors: 1 17 19 197 289 323 3349 3743 5491 38809 56933 63631 659753 737371 1081727 11215801 12535307 213100219