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212211310300 = 225211577334349
BaseRepresentation
bin1100010110100011000…
…1111001111011011100
3202021202101000112002021
43011220301321323130
511434102043412200
6241253304505524
721221536242523
oct3055061717334
9667671015067
10212211310300
1181aa8830390
123516517b2a4
131701c19b082
14a3b1bc74ba
1557c053541a
hex3168c79edc

212211310300 has 72 divisors (see below), whose sum is σ = 503234197200. Its totient is φ = 77033779200.

The previous prime is 212211310231. The next prime is 212211310313. The reversal of 212211310300 is 3013112212.

It is a super-3 number, since 3×2122113103003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467526 + ... + 801874.

It is an arithmetic number, because the mean of its divisors is an integer number (6989363850).

Almost surely, 2212211310300 is an apocalyptic number.

212211310300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251617098600).

212211310300 is an abundant number, since it is smaller than the sum of its proper divisors (291022886900).

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

212211310300 is a wasteful number, since it uses less digits than its factorization.

212211310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334951 (or 334944 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212211310300 its reverse (3013112212), we get a palindrome (215224422512).

The spelling of 212211310300 in words is "two hundred twelve billion, two hundred eleven million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 577 1100 1154 2308 2885 5770 6347 11540 12694 14425 25388 28850 31735 57700 63470 126940 158675 317350 334349 634700 668698 1337396 1671745 3343490 3677839 6686980 7355678 8358725 14711356 16717450 18389195 33434900 36778390 73556780 91945975 183891950 192919373 367783900 385838746 771677492 964596865 1929193730 2122113103 3858387460 4244226206 4822984325 8488452412 9645968650 10610565515 19291937300 21221131030 42442262060 53052827575 106105655150 212211310300