Search a number
-
+
201121101112221 = 346964333565277
BaseRepresentation
bin101101101110101100100111…
…110010011110001110011101
3222101002222201100011101120000
4231232230213302132032131
5202330132003341042341
61551425431445044513
760235343242453623
oct5556544762361635
9871088640141500
10201121101112221
11590a0a863a8264
121a6827499b6739
13882b83b8c1a74
143794455721513
15183b94c2b18b6
hexb6eb27c9e39d

201121101112221 has 20 divisors (see below), whose sum is σ = 300440679056892. Its totient is φ = 134080503942528.

The previous prime is 201121101112207. The next prime is 201121101112247. The reversal of 201121101112221 is 122211101121102.

It is a happy number.

201121101112221 is a `hidden beast` number, since 201 + 121 + 10 + 1 + 112 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174980275016121 + 26140826096100 = 13228011^2 + 5112810^2 .

It is not a de Polignac number, because 201121101112221 - 26 = 201121101112157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201121101112194 and 201121101112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121101112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54628435 + ... + 58193711.

Almost surely, 2201121101112221 is an apocalyptic number.

It is an amenable number.

201121101112221 is a deficient number, since it is larger than the sum of its proper divisors (99319577944671).

201121101112221 is an equidigital number, since it uses as much as digits as its factorization.

201121101112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261722 (or 4261713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201121101112221 its reverse (122211101121102), we get a palindrome (323332202233323).

The spelling of 201121101112221 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 696433 2089299 3565277 6267897 10695831 18803691 32087493 56411073 96262479 288787437 2482976556941 7448929670823 22346789012469 67040367037407 201121101112221