Search a number
-
+
21111221201220 = 22325117284562229
BaseRepresentation
bin1001100110011010101101…
…10101110010100101000100
32202202012202022012100122200
410303031112311302211010
510231341240111414340
6112522210000554500
74306143512260533
oct463152665624504
982665668170580
1021111221201220
1167aa244aaa647
12244b5b5322a30
13ba1a19a84a37
1452db07b3631a
15269240a1c330
hex133356d72944

21111221201220 has 36 divisors (see below), whose sum is σ = 64037370977580. Its totient is φ = 5629658986944.

The previous prime is 21111221201177. The next prime is 21111221201269. The reversal of 21111221201220 is 2210212211112.

21111221201220 is a `hidden beast` number, since 2 + 11 + 11 + 221 + 201 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2495085613056 + 18616135588164 = 1579584^2 + 4314642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×211112212012203 (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21111221201193 and 21111221201202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58642280935 + ... + 58642281294.

Almost surely, 221111221201220 is an apocalyptic number.

21111221201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111221201220 is an abundant number, since it is smaller than the sum of its proper divisors (42926149776360).

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

21111221201220 is a wasteful number, since it uses less digits than its factorization.

21111221201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117284562244 (or 117284562239 counting only the distinct ones).

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

Adding to 21111221201220 its reverse (2210212211112), we get a palindrome (23321433412332).

The spelling of 21111221201220 in words is "twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117284562229 234569124458 351853686687 469138248916 586422811145 703707373374 1055561060061 1172845622290 1407414746748 1759268433435 2111122120122 2345691244580 3518536866870 4222244240244 5277805300305 7037073733740 10555610600610 21111221201220