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212211242810 = 2573448113807
BaseRepresentation
bin1100010110100011000…
…1101001011100111010
3202021202100220002111122
43011220301221130322
511434102034232220
6241253303225242
721221535542000
oct3055061513472
9667670802448
10212211242810
1181aa8794706
1235165148222
131701c176438
14a3b1baaa70
1557c0520425
hex3168c6973a

212211242810 has 64 divisors (see below), whose sum is σ = 445589683200. Its totient is φ = 72736634880.

The previous prime is 212211242809. The next prime is 212211242833. The reversal of 212211242810 is 18242112212.

212211242810 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-2 number, since 2×2122112428102 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212211242810.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15362927 + ... + 15376733.

It is an arithmetic number, because the mean of its divisors is an integer number (6962338800).

Almost surely, 2212211242810 is an apocalyptic number.

212211242810 is an abundant number, since it is smaller than the sum of its proper divisors (233378440390).

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

212211242810 is a wasteful number, since it uses less digits than its factorization.

212211242810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18316 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 212211242810 in words is "two hundred twelve billion, two hundred eleven million, two hundred forty-two thousand, eight hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 4481 8962 13807 22405 27614 31367 44810 62734 69035 96649 138070 156835 193298 219569 313670 439138 483245 676543 966490 1097845 1353086 1536983 2195690 3073966 3382715 4735801 6765430 7684915 9471602 15369830 23679005 47358010 61869167 123738334 309345835 433084169 618691670 866168338 2165420845 3031589183 4330841690 6063178366 15157945915 21221124281 30315891830 42442248562 106105621405 212211242810