Search a number
-
+
21221001002200 = 23521710695838607
BaseRepresentation
bin1001101001100111001100…
…01110011111110011011000
32210010201010001021001202111
410310303212032133303120
510240141102224032300
6113044443203042104
74320111121215406
oct464634616376330
983121101231674
1021221001002200
11684185992099a
122468932370334
13bac19377475c
1453515d99a476
1526c01861a9ba
hex134ce639fcd8

21221001002200 has 96 divisors (see below), whose sum is σ = 52289989387200. Its totient is φ = 7981607946240.

The previous prime is 21221001002171. The next prime is 21221001002429. The reversal of 21221001002200 is 220010012212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715297 + ... + 6553903.

It is an arithmetic number, because the mean of its divisors is an integer number (544687389450).

Almost surely, 221221001002200 is an apocalyptic number.

21221001002200 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 21221001002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144994693600).

21221001002200 is an abundant number, since it is smaller than the sum of its proper divisors (31068988385000).

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

21221001002200 is a wasteful number, since it uses less digits than its factorization.

21221001002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839709 (or 5839700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21221001002200 its reverse (220010012212), we get a palindrome (21441011014412).

The spelling of 21221001002200 in words is "twenty-one trillion, two hundred twenty-one billion, one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1069 1700 2138 3400 4276 5345 8552 10690 18173 21380 26725 36346 42760 53450 72692 90865 106900 145384 181730 213800 363460 454325 726920 908650 1817300 3634600 5838607 11677214 23354428 29193035 46708856 58386070 99256319 116772140 145965175 198512638 233544280 291930350 397025276 496281595 583860700 794050552 992563190 1167721400 1985126380 2481407975 3970252760 4962815950 6241470883 9925631900 12482941766 19851263800 24965883532 31207354415 49931767064 62414708830 106105005011 124829417660 156036772075 212210010022 249658835320 312073544150 424420020044 530525025055 624147088300 848840040088 1061050050110 1248294176600 2122100100220 2652625125275 4244200200440 5305250250550 10610500501100 21221001002200