Search a number
-
+
21012233321331 = 337234833732073
BaseRepresentation
bin1001100011100010010101…
…01100111111101101110011
32202101202020200001001012000
410301301022230333231303
510223231023212240311
6112404515311105043
74266040505212530
oct461611254775563
982352220031160
1021012233321331
116771268a1634a
12243438a512183
13b955a2b67045
14528dd7299d87
1526689a5aa056
hex131c4ab3fb73

21012233321331 has 32 divisors (see below), whose sum is σ = 37123062328320. Its totient is φ = 11484947403072.

The previous prime is 21012233321323. The next prime is 21012233321357. The reversal of 21012233321331 is 13312333221012.

21012233321331 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 2 + 3 + 3 + 321 + 331 = 666.

It is not a de Polignac number, because 21012233321331 - 23 = 21012233321323 is a prime.

It is a super-2 number, since 2×210122333213312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21012233321295 and 21012233321304.

It is not an unprimeable number, because it can be changed into a prime (21012233321831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416861690 + ... + 2416870383.

It is an arithmetic number, because the mean of its divisors is an integer number (1160095697760).

Almost surely, 221012233321331 is an apocalyptic number.

21012233321331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21012233321331 is a deficient number, since it is larger than the sum of its proper divisors (16110829006989).

21012233321331 is a wasteful number, since it uses less digits than its factorization.

21012233321331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833732112 (or 4833732106 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21012233321331 its reverse (13312333221012), we get a palindrome (34324566542343).

The spelling of 21012233321331 in words is "twenty-one trillion, twelve billion, two hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 4833732073 14501196219 33836124511 43503588657 101508373533 111175837679 130510765971 304525120599 333527513037 778230863753 913575361797 1000582539111 2334692591259 3001747617333 7004077773777 21012233321331