Search a number
-
+
21201000012 = 22326710138677
BaseRepresentation
bin10011101111101011…
…011001011001001100
32000201112102101112200
4103233223121121030
5321404424000022
613423431001500
71350244345443
oct235753313114
960645371480
1021201000012
118a9a459115
124138209290
131ccb45c32a
1410519d5d5a
15841402bac
hex4efad964c

21201000012 has 72 divisors (see below), whose sum is σ = 54451256496. Its totient is φ = 6953848704.

The previous prime is 21201000011. The next prime is 21201000017. The reversal of 21201000012 is 21000010212.

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 = 21200999958 and 21201000003.

It is not an unprimeable number, because it can be changed into a prime (21201000011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439018 + ... + 2447694.

Almost surely, 221201000012 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 21201000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225628248).

21201000012 is an abundant number, since it is smaller than the sum of its proper divisors (33250256484).

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

21201000012 is a wasteful number, since it uses less digits than its factorization.

21201000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9767 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21201000012 its reverse (21000010212), we get a palindrome (42201010224).

The spelling of 21201000012 in words is "twenty-one billion, two hundred one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1013 1206 2026 2412 3039 4052 6078 8677 9117 12156 17354 18234 26031 34708 36468 52062 67871 78093 104124 135742 156186 203613 271484 312372 407226 581359 610839 814452 1162718 1221678 1744077 2325436 2443356 3488154 5232231 6976308 8789801 10464462 17579602 20928924 26369403 35159204 52738806 79108209 105477612 158216418 316432836 588916667 1177833334 1766750001 2355666668 3533500002 5300250003 7067000004 10600500006 21201000012