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121020210 = 23355971107
BaseRepresentation
bin1110011011010…
…01111100110010
322102201110112000
413031221330302
5221440121320
620001514430
72666440413
oct715517462
9272643460
10121020210
1162349303
1234642a16
131c0c33bc
141210380a
15a957c90
hex7369f32

121020210 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 30985920.

The previous prime is 121020209. The next prime is 121020241. The reversal of 121020210 is 12020121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121020192 and 121020201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130977 + ... + 1131083.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2121020210 is an apocalyptic number.

121020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

121020210 is an abundant number, since it is smaller than the sum of its proper divisors (214902990).

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

121020210 is a wasteful number, since it uses less digits than its factorization.

121020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121020210 is about 11000.9185980081. The cubic root of 121020210 is about 494.6362800997.

Adding to 121020210 its reverse (12020121), we get a palindrome (133040331).

The spelling of 121020210 in words is "one hundred twenty-one million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 71 90 107 118 135 142 177 213 214 270 295 321 354 355 426 531 535 590 639 642 710 885 963 1062 1065 1070 1278 1593 1605 1770 1917 1926 2130 2655 2889 3186 3195 3210 3834 4189 4815 5310 5778 6313 6390 7597 7965 8378 9585 9630 12567 12626 14445 15194 15930 18939 19170 20945 22791 25134 28890 31565 37701 37878 37985 41890 45582 56817 62835 63130 68373 75402 75970 94695 113103 113634 113955 125670 136746 170451 188505 189390 205119 226206 227910 284085 340902 341865 377010 410238 448223 565515 568170 683730 852255 896446 1025595 1131030 1344669 1704510 2051190 2241115 2689338 4034007 4482230 6723345 8068014 12102021 13446690 20170035 24204042 40340070 60510105 121020210