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212301310220 = 225891274672011
BaseRepresentation
bin1100010110111000100…
…1001110100100001100
3202021222122100222202122
43011232021032210030
511434243113411340
6241310241512112
721224011235126
oct3055611164414
9667878328678
10212301310220
118204461168a
123518b342638
1317034a1cc6c
14a3bdb34216
1557c83b1db5
hex316e24e90c

212301310220 has 96 divisors (see below), whose sum is σ = 455591485440. Its totient is φ = 83085488640.

The previous prime is 212301310219. The next prime is 212301310223. The reversal of 212301310220 is 22013103212.

It is a super-2 number, since 2×2123013102202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212301310223) 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 31 ways as a sum of consecutive naturals, for example, 105569015 + ... + 105571025.

It is an arithmetic number, because the mean of its divisors is an integer number (4745744640).

Almost surely, 2212301310220 is an apocalyptic number.

212301310220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301310220 is an abundant number, since it is smaller than the sum of its proper divisors (243290175220).

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

212301310220 is a wasteful number, since it uses less digits than its factorization.

212301310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212301310220 its reverse (22013103212), we get a palindrome (234314413432).

The spelling of 212301310220 in words is "two hundred twelve billion, three hundred one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 89 127 178 254 356 445 467 508 635 890 934 1270 1780 1868 2011 2335 2540 4022 4670 8044 9340 10055 11303 20110 22606 40220 41563 45212 56515 59309 83126 113030 118618 166252 178979 207815 226060 237236 255397 296545 357958 415630 510794 593090 715916 831260 894895 939137 1021588 1186180 1276985 1789790 1878274 2553970 3579580 3756548 4695685 5107940 5278501 9391370 10557002 18782740 21114004 22730333 26392505 45460666 52785010 83583193 90921332 105570020 113651665 119270399 167166386 227303330 238540798 334332772 417915965 454606660 477081596 596351995 835831930 1192703990 1671663860 2385407980 10615065511 21230131022 42460262044 53075327555 106150655110 212301310220