Search a number
-
+
2121112026 = 23211232916061
BaseRepresentation
bin111111001101101…
…1001100111011010
312110211020122200200
41332123121213122
513321001041101
6550250443030
7103364104035
oct17633314732
95424218620
102121112026
11999348950
124b2433476
1327a5a0497
141619c401c
15c6337986
hex7e6d99da

2121112026 has 96 divisors (see below), whose sum is σ = 5412251520. Its totient is φ = 593577600.

The previous prime is 2121112013. The next prime is 2121112027. The reversal of 2121112026 is 6202111212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2121112027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124036 + ... + 140096.

It is an arithmetic number, because the mean of its divisors is an integer number (56377620).

Almost surely, 22121112026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121112026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706125760).

2121112026 is an abundant number, since it is smaller than the sum of its proper divisors (3291139494).

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

2121112026 is a wasteful number, since it uses less digits than its factorization.

2121112026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16132 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2121112026 is about 46055.5319804255. The cubic root of 2121112026 is about 1284.8562322565.

Adding to 2121112026 its reverse (6202111212), we get a palindrome (8323223238).

The spelling of 2121112026 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 138 174 198 207 253 261 319 414 506 522 638 667 759 957 1334 1518 1914 2001 2277 2871 4002 4554 5742 6003 7337 12006 14674 16061 22011 32122 44022 48183 66033 96366 132066 144549 176671 289098 353342 369403 465769 530013 738806 931538 1060026 1108209 1397307 1590039 2216418 2794614 3180078 3324627 4063433 4191921 5123459 6649254 8126866 8383842 10246918 10712687 12190299 15370377 21425374 24380598 30740754 32138061 36570897 46111131 64276122 73141794 92222262 96414183 117839557 192828366 235679114 353518671 707037342 1060556013 2121112026