Search a number
-
+
212021032212 = 2232112075325799
BaseRepresentation
bin1100010101110101110…
…0000011010100010100
3202021021002222101121200
43011131130003110110
511433204341012322
6241222350312500
721214036016103
oct3053534032424
9667232871550
10212021032212
1181a10388670
12351114b8730
1316cbb938ba2
14a39481603a
1557ad99b8ac
hex315d703514

212021032212 has 72 divisors (see below), whose sum is σ = 584714894400. Its totient is φ = 64243211520.

The previous prime is 212021032211. The next prime is 212021032297. The reversal of 212021032212 is 212230120212.

212021032212 is a `hidden beast` number, since 2 + 120 + 210 + 322 + 12 = 666.

It is a super-2 number, since 2×2120210322122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021032211) 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 23 ways as a sum of consecutive naturals, for example, 8205289 + ... + 8231087.

It is an arithmetic number, because the mean of its divisors is an integer number (8121040200).

Almost surely, 2212021032212 is an apocalyptic number.

212021032212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212021032212 is an abundant number, since it is smaller than the sum of its proper divisors (372693862188).

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

212021032212 is a wasteful number, since it uses less digits than its factorization.

212021032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46573 (or 46568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212021032212 its reverse (212230120212), we get a palindrome (424251152424).

The spelling of 212021032212 in words is "two hundred twelve billion, twenty-one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 20753 25799 41506 51598 62259 77397 83012 103196 124518 154794 186777 228283 232191 249036 283789 309588 373554 456566 464382 567578 684849 747108 851367 913132 928764 1135156 1369698 1702734 2054547 2554101 2739396 3405468 4109094 5108202 8218188 10216404 535406647 1070813294 1606219941 2141626588 3212439882 4818659823 5889473117 6424879764 9637319646 11778946234 17668419351 19274639292 23557892468 35336838702 53005258053 70673677404 106010516106 212021032212