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212030233020 = 223257316136243
BaseRepresentation
bin1100010101110111111…
…1001001100110111100
3202021021202021211202100
43011131333021212330
511433214214424040
6241223315425100
721214210146444
oct3053577114674
9667252254670
10212030233020
1181a155a2341
12351145b5190
1316cc080aa58
14a395b2d124
1557ae6b7b30
hex315dfc99bc

212030233020 has 72 divisors (see below), whose sum is σ = 651968802576. Its totient is φ = 55766852352.

The previous prime is 212030233001. The next prime is 212030233021. The reversal of 212030233020 is 20332030212.

It is a happy number.

212030233020 is a `hidden beast` number, since 2 + 12 + 0 + 302 + 330 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212030232984 and 212030233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212030233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8054982 + ... + 8081261.

It is an arithmetic number, because the mean of its divisors is an integer number (9055122258).

Almost surely, 2212030233020 is an apocalyptic number.

212030233020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212030233020 is an abundant number, since it is smaller than the sum of its proper divisors (439938569556).

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

212030233020 is a wasteful number, since it uses less digits than its factorization.

212030233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136331 (or 16136326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212030233020 its reverse (20332030212), we get a palindrome (232362263232).

The spelling of 212030233020 in words is "two hundred twelve billion, thirty million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 16136243 32272486 48408729 64544972 80681215 96817458 145226187 161362430 193634916 242043645 290452374 322724860 484087290 580904748 726130935 968174580 1177945739 1452261870 2355891478 2904523740 3533837217 4711782956 5889728695 7067674434 10601511651 11779457390 14135348868 17669186085 21203023302 23558914780 35338372170 42406046604 53007558255 70676744340 106015116510 212030233020