Search a number
-
+
21210120101220 = 22353118736088249
BaseRepresentation
bin1001101001010010111011…
…01011001001110101100100
32210002200000201221000122220
410310221131223021311210
510240001311221214340
6113035443351352340
74316244356122131
oct464513553116544
983080021830586
1021210120101220
116838185939a46
1224667b63826b0
13bab14b419bcb
1453480a84d588
1526bacd254ed0
hex134a5dac9d64

21210120101220 has 96 divisors (see below), whose sum is σ = 61336829568000. Its totient is φ = 5470656122880.

The previous prime is 21210120101167. The next prime is 21210120101237. The reversal of 21210120101220 is 2210102101212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21210120101220.

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 31 ways as a sum of consecutive naturals, for example, 439656 + ... + 6527904.

It is an arithmetic number, because the mean of its divisors is an integer number (638925308000).

Almost surely, 221210120101220 is an apocalyptic number.

21210120101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210120101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30668414784000).

21210120101220 is an abundant number, since it is smaller than the sum of its proper divisors (40126709466780).

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

21210120101220 is a wasteful number, since it uses less digits than its factorization.

21210120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090165 (or 6090163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21210120101220 its reverse (2210102101212), we get a palindrome (23420222202432).

The spelling of 21210120101220 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1873 3746 5619 7492 9365 11238 18730 22476 28095 37460 56190 58063 112380 116126 174189 232252 290315 348378 580630 696756 870945 1161260 1741890 3483780 6088249 12176498 18264747 24352996 30441245 36529494 60882490 73058988 91323735 121764980 182647470 188735719 365294940 377471438 566207157 754942876 943678595 1132414314 1887357190 2264828628 2831035785 3774714380 5662071570 11324143140 11403290377 22806580754 34209871131 45613161508 57016451885 68419742262 114032903770 136839484524 171049355655 228065807540 342098711310 353502001687 684197422620 707004003374 1060506005061 1414008006748 1767510008435 2121012010122 3535020016870 4242024020244 5302530025305 7070040033740 10605060050610 21210120101220