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212004135 = 365721187
BaseRepresentation
bin11001010001011…
…10110100100111
3112202220221000000
430220232310213
5413233113020
633011552343
75153001600
oct1450566447
9482827000
10212004135
11a9741932
125abbb6b3
1334bcb145
1420228da7
151392b090
hexca2ed27

212004135 has 84 divisors (see below), whose sum is σ = 444081528. Its totient is φ = 96834528.

The previous prime is 212004101. The next prime is 212004139. The reversal of 212004135 is 531400212.

It is not a de Polignac number, because 212004135 - 210 = 212003111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212004139) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 178012 + ... + 179198.

Almost surely, 2212004135 is an apocalyptic number.

212004135 is an abundant number, since it is smaller than the sum of its proper divisors (232077393).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212004135 is an equidigital number, since it uses as much as digits as its factorization.

212004135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212004135 is about 14560.3617743516. The cubic root of 212004135 is about 596.2770724625.

Adding to 212004135 its reverse (531400212), we get a palindrome (743404347).

The spelling of 212004135 in words is "two hundred twelve million, four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 729 735 945 1187 1215 1323 1701 2205 2835 3561 3645 3969 5103 5935 6615 8309 8505 10683 11907 17805 19845 24927 25515 32049 35721 41545 53415 58163 59535 74781 96147 124635 160245 174489 178605 224343 288441 290815 373905 480735 523467 673029 865323 872445 1121715 1442205 1570401 2019087 2617335 3365145 4326615 4711203 6057261 7852005 10095435 14133609 23556015 30286305 42400827 70668045 212004135