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21226106010 = 23529169314411
BaseRepresentation
bin10011110001001011…
…001010110010011010
32000210021122220111110
4103301023022302122
5321432340343020
613430125041150
71351000631664
oct236113126232
960707586443
1021226106010
11900264667a
1241446b61b6
13200370c855
14105508d534
158437118e0
hex4f12cac9a

21226106010 has 64 divisors (see below), whose sum is σ = 52734084480. Its totient is φ = 5461505280.

The previous prime is 21226106009. The next prime is 21226106029. The reversal of 21226106010 is 1060162212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465705 + ... + 1480115.

It is an arithmetic number, because the mean of its divisors is an integer number (823970070).

Almost surely, 221226106010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21226106010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26367042240).

21226106010 is an abundant number, since it is smaller than the sum of its proper divisors (31507978470).

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

21226106010 is a wasteful number, since it uses less digits than its factorization.

21226106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16143.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21226106010 its reverse (1060162212), we get a palindrome (22286268222).

The spelling of 21226106010 in words is "twenty-one billion, two hundred twenty-six million, one hundred six thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1693 3386 5079 8465 10158 14411 16930 25395 28822 43233 49097 50790 72055 86466 98194 144110 147291 216165 245485 294582 417919 432330 490970 736455 835838 1253757 1472910 2089595 2507514 4179190 6268785 12537570 24397823 48795646 73193469 121989115 146386938 243978230 365967345 707536867 731934690 1415073734 2122610601 3537684335 4245221202 7075368670 10613053005 21226106010