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211212100200 = 23352352020167
BaseRepresentation
bin1100010010110100111…
…0001110001001101000
3202012011201211101111210
43010231032032021220
511430030244201300
6241010212153120
721155014141533
oct3045516161150
9665151741453
10211212100200
11816357a7012
1234b266087a0
1316bc01795aa
14a319203a1a
15576295d050
hex312d38e268

211212100200 has 48 divisors (see below), whose sum is σ = 654757512480. Its totient is φ = 56323226560.

The previous prime is 211212100189. The next prime is 211212100207. The reversal of 211212100200 is 2001212112.

It is a super-2 number, since 2×2112121002002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211212100207) 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, 176009484 + ... + 176010683.

It is an arithmetic number, because the mean of its divisors is an integer number (13640781510).

Almost surely, 2211212100200 is an apocalyptic number.

211212100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212100200 is an abundant number, since it is smaller than the sum of its proper divisors (443545412280).

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

211212100200 is a wasteful number, since it uses less digits than its factorization.

211212100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352020186 (or 352020177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211212100200 its reverse (2001212112), we get a palindrome (213213312312).

The spelling of 211212100200 in words is "two hundred eleven billion, two hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 352020167 704040334 1056060501 1408080668 1760100835 2112121002 2816161336 3520201670 4224242004 5280302505 7040403340 8448484008 8800504175 10560605010 14080806680 17601008350 21121210020 26401512525 35202016700 42242420040 52803025050 70404033400 105606050100 211212100200