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212331042 = 232711219733
BaseRepresentation
bin11001010011111…
…10101000100010
3112210112112102200
430221332220202
5413324043132
633022554030
75155532640
oct1451765042
9483475380
10212331042
11a9945500
125b138916
1334cb3b91
14202b2190
1513992d7c
hexca7ea22

212331042 has 144 divisors (see below), whose sum is σ = 609161280. Its totient is φ = 52176960.

The previous prime is 212330999. The next prime is 212331089. The reversal of 212331042 is 240133212.

212331042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289308 + ... + 290040.

Almost surely, 2212331042 is an apocalyptic number.

212331042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304580640).

212331042 is an abundant number, since it is smaller than the sum of its proper divisors (396830238).

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

212331042 is a wasteful number, since it uses less digits than its factorization.

212331042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212331042 is about 14571.5833731273. The cubic root of 212331042 is about 596.5833983165.

Adding to 212331042 its reverse (240133212), we get a palindrome (452464254).

The spelling of 212331042 in words is "two hundred twelve million, three hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 121 126 133 154 171 198 209 231 242 266 342 363 399 418 462 627 693 726 733 798 847 1089 1197 1254 1386 1463 1466 1694 1881 2178 2199 2299 2394 2541 2926 3762 4389 4398 4598 5082 5131 6597 6897 7623 8063 8778 10262 13167 13194 13794 13927 15246 15393 16093 16126 20691 24189 26334 27854 30786 32186 41382 41781 46179 48279 48378 56441 72567 83562 88693 92358 96558 97489 112882 125343 144837 145134 153197 169323 177386 194978 250686 266079 289674 292467 306394 338646 459591 507969 532158 584934 620851 798237 877401 919182 1015938 1072379 1241702 1378773 1596474 1685167 1754802 1862553 2144758 2757546 3217137 3370334 3725106 5055501 5587659 6434274 9651411 10111002 11175318 11796169 15166503 19302822 23592338 30333006 35388507 70777014 106165521 212331042