Search a number
-
+
21221011100211 = 3132162733897591
BaseRepresentation
bin1001101001100111001101…
…10101000001001000110011
32210010201010202021002121220
410310303212311001020303
510240141112320201321
6113044444203320123
74320111303103566
oct464634665011063
983121122232556
1021221011100211
11684186459875a
122468935820043
13bac19589bb00
145351610684dd
1526c0194629c6
hex134ce6d41233

21221011100211 has 48 divisors (see below), whose sum is σ = 30670536948480. Its totient is φ = 13045487495040.

The previous prime is 21221011100189. The next prime is 21221011100227. The reversal of 21221011100211 is 11200111012212.

It is a happy number.

It is not a de Polignac number, because 21221011100211 - 221 = 21221009003059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21221011100011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795545026 + ... + 2795552616.

It is an arithmetic number, because the mean of its divisors is an integer number (638969519760).

Almost surely, 221221011100211 is an apocalyptic number.

21221011100211 is a deficient number, since it is larger than the sum of its proper divisors (9449525848269).

21221011100211 is a wasteful number, since it uses less digits than its factorization.

21221011100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636 (or 12623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21221011100211 its reverse (11200111012212), we get a palindrome (32421122112423).

The spelling of 21221011100211 in words is "twenty-one trillion, two hundred twenty-one billion, eleven million, one hundred thousand, two hundred eleven".

Divisors: 1 3 13 39 169 507 1627 3389 4881 7591 10167 21151 22773 44057 63453 98683 132171 274963 296049 572741 824889 1282879 1718223 3848637 5513903 12350557 16541709 25725899 37051671 71680739 77177697 160557241 215042217 334436687 481671723 931849607 1003310061 2087244133 2795548821 4347676931 6261732399 13043030793 41856037673 125568113019 544128489749 1632385469247 7073670366737 21221011100211