Search a number
-
+
21221234010414 = 23211298563121949
BaseRepresentation
bin1001101001100111101000…
…00111010110100100101110
32210010201201021201002221100
410310303310013112210232
510240142041401313124
6113044522245143530
74320116650600554
oct464636407264456
983121637632840
1021221234010414
1168419693a9469
1224689983baba6
13bac1ccb18039
145351828d1bd4
1526c02dce51c9
hex134cf41d692e

21221234010414 has 48 divisors (see below), whose sum is σ = 46025817786000. Its totient is φ = 7066595875968.

The previous prime is 21221234010413. The next prime is 21221234010491. The reversal of 21221234010414 is 41401043212212.

21221234010414 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 234 + 0 + 10 + 414 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221234010413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173956312 + ... + 174078260.

It is an arithmetic number, because the mean of its divisors is an integer number (958871203875).

Almost surely, 221221234010414 is an apocalyptic number.

21221234010414 is an abundant number, since it is smaller than the sum of its proper divisors (24804583775586).

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

21221234010414 is a wasteful number, since it uses less digits than its factorization.

21221234010414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131649 (or 131646 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21221234010414 its reverse (41401043212212), we get a palindrome (62622277222626).

The spelling of 21221234010414 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred thirty-four million, ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 1129 2258 3387 6774 8563 10161 17126 20322 25689 51378 77067 121949 154134 243898 365847 731694 1097541 2195082 9667627 19335254 29002881 58005762 87008643 137680421 174017286 275360842 413041263 826082526 1044249287 1239123789 2088498574 2478247578 3132747861 6265495722 9398243583 18796487166 1178957445023 2357914890046 3536872335069 7073744670138 10610617005207 21221234010414