Search a number
-
+
21201210 = 23351731149
BaseRepresentation
bin101000011100…
…0000100111010
31110220010121000
41100320010322
520411414320
62034225430
7345131052
oct120700472
943803530
1021201210
1110a70868
127125276
1345140c4
142b5c562
151cdbc90
hex143813a

21201210 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5114880.

The previous prime is 21201209. The next prime is 21201251. The reversal of 21201210 is 1210212.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21201192 and 21201201.

It is a congruent number.

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, 142216 + ... + 142364.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 221201210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

21201210 is an abundant number, since it is smaller than the sum of its proper divisors (41006790).

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

21201210 is a wasteful number, since it uses less digits than its factorization.

21201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

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

The square root of 21201210 is about 4604.4771690171. The cubic root of 21201210 is about 276.7707661359.

Adding to 21201210 its reverse (1210212), we get a palindrome (22411422).

The spelling of 21201210 in words is "twenty-one million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 85 90 93 102 135 149 153 155 170 186 255 270 279 298 306 310 447 459 465 510 527 558 745 765 837 894 918 930 1054 1341 1395 1490 1530 1581 1674 2235 2295 2533 2635 2682 2790 3162 4023 4185 4470 4590 4619 4743 5066 5270 6705 7599 7905 8046 8370 9238 9486 12665 13410 13857 14229 15198 15810 20115 22797 23095 23715 25330 27714 28458 37995 40230 41571 45594 46190 47430 68391 69285 71145 75990 78523 83142 113985 124713 136782 138570 142290 157046 207855 227970 235569 249426 341955 392615 415710 471138 623565 683910 706707 785230 1177845 1247130 1413414 2120121 2355690 3533535 4240242 7067070 10600605 21201210