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211220210120 = 2358875953219
BaseRepresentation
bin1100010010110110110…
…1001010000111001000
3202012012022002102020012
43010231231022013020
511430034333210440
6241011102051052
721155143106603
oct3045555120710
9665168072205
10211220210120
118163a336127
1234b29279a88
1316bc1a58a6a
14a31a31533a
155763510e65
hex312db4a1c8

211220210120 has 32 divisors (see below), whose sum is σ = 475781342400. Its totient is φ = 84392818368.

The previous prime is 211220210093. The next prime is 211220210141. The reversal of 211220210120 is 21012022112.

It is a super-2 number, since 2×2112202101202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220210095 and 211220210104.

It is an unprimeable number.

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, 2941130 + ... + 3012089.

It is an arithmetic number, because the mean of its divisors is an integer number (14868166950).

Almost surely, 2211220210120 is an apocalyptic number.

211220210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220210120 is an abundant number, since it is smaller than the sum of its proper divisors (264561132280).

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

211220210120 is a wasteful number, since it uses less digits than its factorization.

211220210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954117 (or 5954113 counting only the distinct ones).

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

Adding to 211220210120 its reverse (21012022112), we get a palindrome (232232232232).

The spelling of 211220210120 in words is "two hundred eleven billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 887 1774 3548 4435 7096 8870 17740 35480 5953219 11906438 23812876 29766095 47625752 59532190 119064380 238128760 5280505253 10561010506 21122021012 26402526265 42244042024 52805052530 105610105060 211220210120