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21229188192212 = 22711135301995053
BaseRepresentation
bin1001101001110110011100…
…01110001001011111010100
32210011111020121220102002012
410310323032032021133110
510240304334134122322
6113052315431003352
74320521034201140
oct464731616113724
983144217812065
1021229188192212
116845280321a30
12246a438209558
13bacb99a082a0
145356d9070220
1526c34728eae2
hex134ece3897d4

21229188192212 has 48 divisors (see below), whose sum is σ = 49881169468032. Its totient is φ = 7634872874880.

The previous prime is 21229188192197. The next prime is 21229188192259.

21229188192212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650993523 + ... + 2651001530.

It is an arithmetic number, because the mean of its divisors is an integer number (1039191030584).

Almost surely, 221229188192212 is an apocalyptic number.

21229188192212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21229188192212 is an abundant number, since it is smaller than the sum of its proper divisors (28651981275820).

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

21229188192212 is a wasteful number, since it uses less digits than its factorization.

21229188192212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301995088 (or 5301995086 counting only the distinct ones).

The product of its digits is 331776, while the sum is 50.

The spelling of 21229188192212 in words is "twenty-one trillion, two hundred twenty-nine billion, one hundred eighty-eight million, one hundred ninety-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5301995053 10603990106 21207980212 37113965371 58321945583 68925935689 74227930742 116643891166 137851871378 148455861484 233287782332 275703742756 408253619081 482481549823 758185292579 816507238162 964963099646 1516370585158 1633014476324 1929926199292 3032741170316 5307297048053 10614594096106 21229188192212