Search a number
-
+
21011002122 = 23113167315259
BaseRepresentation
bin10011100100010110…
…100111001100001010
32000020021220111102210
4103210112213030022
5321012304031442
613352522405550
71342446366645
oct234426471412
960207814383
1021011002122
118a02187970
1240a46608b6
131c9ac97846
141034698a5c
1582e8c219c
hex4e45a730a

21011002122 has 64 divisors (see below), whose sum is σ = 47394385920. Its totient is φ = 6152025600.

The previous prime is 21011002087. The next prime is 21011002141. The reversal of 21011002122 is 22120011012.

21011002122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 21011002098 and 21011002107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369329 + ... + 1384587.

It is an arithmetic number, because the mean of its divisors is an integer number (740537280).

Almost surely, 221011002122 is an apocalyptic number.

21011002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23697192960).

21011002122 is an abundant number, since it is smaller than the sum of its proper divisors (26383383798).

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

21011002122 is a wasteful number, since it uses less digits than its factorization.

21011002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15979.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21011002122 its reverse (22120011012), we get a palindrome (43131013134).

The spelling of 21011002122 in words is "twenty-one billion, eleven million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 673 682 1023 1346 2019 2046 4038 7403 14806 15259 20863 22209 30518 41726 44418 45777 62589 91554 125178 167849 229493 335698 458986 473029 503547 688479 946058 1007094 1376958 1419087 2838174 5203319 10269307 10406638 15609957 20538614 30807921 31219914 61615842 112962377 225924754 318348517 338887131 636697034 677774262 955045551 1910091102 3501833687 7003667374 10505501061 21011002122