Search a number
-
+
21222120201012 = 22321095408287513
BaseRepresentation
bin1001101001101001010001…
…11011111001101100110100
32210010211000001020020220100
410310310220323321230310
510240200400232413022
6113045150223234100
74320150631232613
oct464645073715464
983124001206810
1021222120201012
116842283659595
122468ba5148930
13bac3115b7c83
1453522849587a
1526c0819e51ac
hex134d28ef9b34

21222120201012 has 36 divisors (see below), whose sum is σ = 54136958015140. Its totient is φ = 7009140615552.

The previous prime is 21222120200993. The next prime is 21222120201031. The reversal of 21222120201012 is 21010202122212.

It is a happy number.

21222120201012 is a `hidden beast` number, since 212 + 221 + 20 + 201 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (21222120200993) and next prime (21222120201031).

It can be written as a sum of positive squares in 2 ways, for example, as 14455857951396 + 6766262249616 = 3802086^2 + 2601204^2 .

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

It is a super-2 number, since 2×212221202010122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 2704139833 + ... + 2704147680.

Almost surely, 221222120201012 is an apocalyptic number.

It is an amenable number.

21222120201012 is an abundant number, since it is smaller than the sum of its proper divisors (32914837814128).

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

21222120201012 is a wasteful number, since it uses less digits than its factorization.

21222120201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408287632 (or 5408287627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222120201012 its reverse (21010202122212), we get a palindrome (42232322323224).

The spelling of 21222120201012 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 5408287513 10816575026 16224862539 21633150052 32449725078 48674587617 64899450156 97349175234 194698350468 589503338917 1179006677834 1768510016751 2358013355668 3537020033502 5305530050253 7074040067004 10611060100506 21222120201012