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10212211221210 = 2335173835809093
BaseRepresentation
bin1001010010011011011100…
…1110001110001011011010
31100011021111120002020201000
42110212313032032023122
52314304102033034320
633415231452005430
72102544054066315
oct224466716161332
940137446066630
1010212211221210
113287a7a003479
12118b240a60876
135910132c4b7b
142743b8cd197c
1512a99a45bc90
hex949b738e2da

10212211221210 has 128 divisors (see below), whose sum is σ = 28909769564160. Its totient is φ = 2556372261888.

The previous prime is 10212211221203. The next prime is 10212211221253. The reversal of 10212211221210 is 1212211221201.

10212211221210 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 211 + 221 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146577 + ... + 4662516.

It is an arithmetic number, because the mean of its divisors is an integer number (225857574720).

Almost surely, 210212211221210 is an apocalyptic number.

10212211221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212211221210 is an abundant number, since it is smaller than the sum of its proper divisors (18697558342950).

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

10212211221210 is a wasteful number, since it uses less digits than its factorization.

10212211221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809509 (or 5809503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10212211221210 its reverse (1212211221201), we get a palindrome (11424422442411).

Subtracting from 10212211221210 its reverse (1212211221201), we obtain a palindrome (9000000000009).

The spelling of 10212211221210 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 383 459 510 765 766 918 1149 1530 1915 2295 2298 3447 3830 4590 5745 6511 6894 10341 11490 13022 17235 19533 20682 32555 34470 39066 51705 58599 65110 97665 103410 117198 175797 195330 292995 351594 585990 878985 1757970 5809093 11618186 17427279 29045465 34854558 52281837 58090930 87136395 98754581 104563674 156845511 174272790 197509162 261409185 296263743 313691022 493772905 522818370 592527486 784227555 888791229 987545810 1481318715 1568455110 1777582458 2224882619 2666373687 2962637430 4443956145 4449765238 5332747374 6674647857 8887912290 11124413095 13331868435 13349295714 20023943571 22248826190 26663736870 33373239285 37823004523 40047887142 60071830713 66746478570 75646009046 100119717855 113469013569 120143661426 189115022615 200239435710 226938027138 300359153565 340407040707 378230045230 567345067845 600718307130 680814081414 1021221122121 1134690135690 1702035203535 2042442244242 3404070407070 5106105610605 10212211221210