Search a number
-
+
21616205144211 = 3210191129260951
BaseRepresentation
bin1001110101000111010100…
…01110101010000010010011
32211112111012111120121101100
410322203222032222002103
510313124442004103321
6113550203023235443
74360501500050226
oct472435216520223
984474174517340
1021616205144211
1169844212a8197
122511447448b83
13c0a52662b8b2
1454a330c3b5bd
15277448e84326
hex13a8ea3aa093

21616205144211 has 24 divisors (see below), whose sum is σ = 31533016937760. Its totient is φ = 14267910960000.

The previous prime is 21616205144203. The next prime is 21616205144257. The reversal of 21616205144211 is 11244150261612.

21616205144211 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 6 + 205 + 1 + 442 + 1 + 1 = 666.

It is not a de Polignac number, because 21616205144211 - 23 = 21616205144203 is a prime.

It is a super-2 number, since 2×216162051442112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21616205144291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82705786 + ... + 82966736.

It is an arithmetic number, because the mean of its divisors is an integer number (1313875705740).

Almost surely, 221616205144211 is an apocalyptic number.

21616205144211 is a deficient number, since it is larger than the sum of its proper divisors (9916811793549).

21616205144211 is a wasteful number, since it uses less digits than its factorization.

21616205144211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352187 (or 352184 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21616205144211 in words is "twenty-one trillion, six hundred sixteen billion, two hundred five million, one hundred forty-four thousand, two hundred eleven".

Divisors: 1 3 9 101 303 909 91129 260951 273387 782853 820161 2348559 9204029 26356051 27612087 79068153 82836261 237204459 23780203679 71340611037 214021833111 2401800571579 7205401714737 21616205144211