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212121013302 = 23411196265019
BaseRepresentation
bin1100010110001101100…
…1011100110000110110
3202021112002002221220000
43011203121130300312
511433410434411202
6241240321252130
721216361602132
oct3054331346066
9667462087800
10212121013302
1181a61866970
123513aa94046
1317006573bb3
14a3a3c003c2
1557b764a91c
hex316365cc36

212121013302 has 80 divisors (see below), whose sum is σ = 545808542400. Its totient is φ = 60895974960.

The previous prime is 212121013301. The next prime is 212121013337. The reversal of 212121013302 is 203310121212.

212121013302 is a `hidden beast` number, since 2 + 121 + 210 + 1 + 330 + 2 = 666.

212121013302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2121210133023 (a number of 35 digits) contains 333 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 (212121013301) 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 39 ways as a sum of consecutive naturals, for example, 3098652 + ... + 3166367.

It is an arithmetic number, because the mean of its divisors is an integer number (6822606780).

Almost surely, 2212121013302 is an apocalyptic number.

212121013302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212121013302 is an abundant number, since it is smaller than the sum of its proper divisors (333687529098).

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

212121013302 is a wasteful number, since it uses less digits than its factorization.

212121013302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265063 (or 6265054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212121013302 its reverse (203310121212), we get a palindrome (415431134514).

The spelling of 212121013302 in words is "two hundred twelve billion, one hundred twenty-one million, thirteen thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16929 33858 6265019 12530038 18795057 37590114 56385171 68915209 112770342 119035361 137830418 169155513 206745627 238070722 338311026 357106083 413491254 507466539 620236881 714212166 1014933078 1071318249 1240473762 1309388971 1860710643 2142636498 2618777942 3213954747 3721421286 3928166913 5582131929 6427909494 7856333826 9641864241 11164263858 11784500739 19283728482 23569001478 35353502217 70707004434 106060506651 212121013302