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22003113133332 = 22322016613030817
BaseRepresentation
bin1010000000010111111111…
…01111100000010100010100
32212220110212210012220201100
411000023333233200110110
510340444333430231312
6114444031324230100
74430446440514302
oct500137757402424
985813783186640
1022003113133332
11701351681aa91
12257442609b330
13c37b667c0c26
14560d56363272
152825413035dc
hex1402ffbe0514

22003113133332 has 36 divisors (see below), whose sum is σ = 55619274575956. Its totient is φ = 7334332254720.

The previous prime is 22003113133303. The next prime is 22003113133343. The reversal of 22003113133332 is 23333131130022.

22003113133332 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 3 + 11 + 313 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12421649118096 + 9581464015236 = 3524436^2 + 3095394^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22003113133296 and 22003113133305.

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, 5744388 + ... + 8775204.

Almost surely, 222003113133332 is an apocalyptic number.

It is an amenable number.

22003113133332 is an abundant number, since it is smaller than the sum of its proper divisors (33616161442624).

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

22003113133332 is a wasteful number, since it uses less digits than its factorization.

22003113133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232488 (or 3232483 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 22003113133332 its reverse (23333131130022), we get a palindrome (45336244263354).

The spelling of 22003113133332 in words is "twenty-two trillion, three billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 201661 403322 604983 806644 1209966 1814949 2419932 3030817 3629898 6061634 7259796 9092451 12123268 18184902 27277353 36369804 54554706 109109412 611197587037 1222395174074 1833592761111 2444790348148 3667185522222 5500778283333 7334371044444 11001556566666 22003113133332