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211200212120 = 23543122790821
BaseRepresentation
bin1100010010110010000…
…0110111110010011000
3202012010220110102010112
43010230200313302120
511430014223241440
6241005105303452
721154511116442
oct3045440676230
9665126412115
10211200212120
118162a017357
1234b22634b88
1316bba876521
14a3177cb492
1557618b0965
hex312c837c98

211200212120 has 32 divisors (see below), whose sum is σ = 486251655120. Its totient is φ = 82515431040.

The previous prime is 211200212101. The next prime is 211200212129. The reversal of 211200212120 is 21212002112.

It is a junction number, because it is equal to n+sod(n) for n = 211200212095 and 211200212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200212129) 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 7 ways as a sum of consecutive naturals, for example, 61393691 + ... + 61397130.

Almost surely, 2211200212120 is an apocalyptic number.

211200212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200212120 is an abundant number, since it is smaller than the sum of its proper divisors (275051443000).

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

211200212120 is a wasteful number, since it uses less digits than its factorization.

211200212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122790875 (or 122790871 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211200212120 its reverse (21212002112), we get a palindrome (232412214232).

The spelling of 211200212120 in words is "two hundred eleven billion, two hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 122790821 245581642 491163284 613954105 982326568 1227908210 2455816420 4911632840 5280005303 10560010606 21120021212 26400026515 42240042424 52800053030 105600106060 211200212120