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211213122200 = 23526117312551
BaseRepresentation
bin1100010010110101001…
…0000111101010011000
3202012011210202022102122
43010231102013222120
511430031024402300
6241010250120412
721155025626243
oct3045522075230
9665153668378
10211213122200
1181636334943
1234b26a20108
1316bc0446822
14a3193cc25a
155762ab0c85
hex312d487a98

211213122200 has 48 divisors (see below), whose sum is σ = 499120874160. Its totient is φ = 83100240000.

The previous prime is 211213122101. The next prime is 211213122203. The reversal of 211213122200 is 2221312112.

It is a super-2 number, since 2×2112131222002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213122203) 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 11 ways as a sum of consecutive naturals, for example, 8644076 + ... + 8668475.

It is an arithmetic number, because the mean of its divisors is an integer number (10398351545).

Almost surely, 2211213122200 is an apocalyptic number.

211213122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213122200 is an abundant number, since it is smaller than the sum of its proper divisors (287907751960).

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

211213122200 is a wasteful number, since it uses less digits than its factorization.

211213122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17312628 (or 17312619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211213122200 its reverse (2221312112), we get a palindrome (213434434312).

The spelling of 211213122200 in words is "two hundred eleven billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 17312551 34625102 69250204 86562755 138500408 173125510 346251020 432813775 692502040 865627550 1056065611 1731255100 2112131222 3462510200 4224262444 5280328055 8448524888 10560656110 21121312220 26401640275 42242624440 52803280550 105606561100 211213122200