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21001110012 = 22326137325639
BaseRepresentation
bin10011100011110000…
…111000000111111100
32000012121021221000100
4103203300320013330
5321002241010022
613351530401100
71342266326661
oct234360700774
960177257010
1021001110012
1189a7640873
1240a1290190
131c98c1311c
141033241a68
1582dabb1ac
hex4e3c381fc

21001110012 has 72 divisors (see below), whose sum is σ = 54103169120. Its totient is φ = 6866881920.

The previous prime is 21001109999. The next prime is 21001110103.

It is a happy number.

21001110012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210011100122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21001109976 and 21001110003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806289 + ... + 831927.

Almost surely, 221001110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27051584560).

21001110012 is an abundant number, since it is smaller than the sum of its proper divisors (33102059108).

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

21001110012 is a wasteful number, since it uses less digits than its factorization.

21001110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 21001110012 in words is "twenty-one billion, one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 373 549 732 746 1098 1119 1492 2196 2238 3357 4476 6714 13428 22753 25639 45506 51278 68259 76917 91012 102556 136518 153834 204777 230751 273036 307668 409554 461502 819108 923004 1563979 3127958 4691937 6255916 9383874 9563347 14075811 18767748 19126694 28151622 28690041 38253388 56303244 57380082 86070123 114760164 172140246 344280492 583364167 1166728334 1750092501 2333456668 3500185002 5250277503 7000370004 10500555006 21001110012