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211121100200 = 23521933546097
BaseRepresentation
bin1100010010011111001…
…1000101010110101000
3202011221101121002222102
43010213303011112220
511424334000201300
6240553201512532
721152530512443
oct3044763052650
9664841532872
10211121100200
11815993a23aa
1234b00042748
1316ba736743a
14a30b0b665a
1557599850d5
hex3127cc55a8

211121100200 has 48 divisors (see below), whose sum is σ = 491111392380. Its totient is φ = 84404597760.

The previous prime is 211121100191. The next prime is 211121100209. The reversal of 211121100200 is 2001121112.

It is an interprime number because it is at equal distance from previous prime (211121100191) and next prime (211121100209).

It can be written as a sum of positive squares in 6 ways, for example, as 25613441764 + 185507658436 = 160042^2 + 430706^2 .

It is not an unprimeable number, because it can be changed into a prime (211121100209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113552 + ... + 659648.

Almost surely, 2211121100200 is an apocalyptic number.

211121100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121100200 is an abundant number, since it is smaller than the sum of its proper divisors (279990292180).

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

211121100200 is a wasteful number, since it uses less digits than its factorization.

211121100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548046 (or 548037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211121100200 its reverse (2001121112), we get a palindrome (213122221312).

The spelling of 211121100200 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1933 3866 7732 9665 15464 19330 38660 48325 77320 96650 193300 386600 546097 1092194 2184388 2730485 4368776 5460970 10921940 13652425 21843880 27304850 54609700 109219400 1055605501 2111211002 4222422004 5278027505 8444844008 10556055010 21112110020 26390137525 42224220040 52780275050 105560550100 211121100200