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211100123200 = 2652196944083
BaseRepresentation
bin1100010010011010001…
…1000100000001000000
3202011212221010100221111
43010212203010001000
511424313112420300
6240551132133104
721152154304141
oct3044643040100
9664787110844
10211100123200
118158857503a
1234ab5007194
1316ba2c01405
14a3083b5ac8
155757bde9ba
hex31268c4040

211100123200 has 84 divisors (see below), whose sum is σ = 546777174160. Its totient is φ = 79995824640.

The previous prime is 211100123191. The next prime is 211100123203. The reversal of 211100123200 is 2321001112.

It is not an unprimeable number, because it can be changed into a prime (211100123203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3441642 + ... + 3502441.

Almost surely, 2211100123200 is an apocalyptic number.

211100123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100123200 is an abundant number, since it is smaller than the sum of its proper divisors (335677050960).

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

211100123200 is a wasteful number, since it uses less digits than its factorization.

211100123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944124 (or 6944109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211100123200 its reverse (2321001112), we get a palindrome (213421124312).

The spelling of 211100123200 in words is "two hundred eleven billion, one hundred million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 6944083 13888166 27776332 34720415 55552664 69440830 111105328 131937577 138881660 173602075 222210656 263875154 277763320 347204150 444421312 527750308 555526640 659687885 694408300 1055500616 1111053280 1319375770 1388816600 2111001232 2222106560 2638751540 2777633200 3298439425 4222002464 5277503080 5555266400 6596878850 8444004928 10555006160 11110532800 13193757700 21110012320 26387515400 42220024640 52775030800 105550061600 211100123200