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10221316050 = 2352117018837
BaseRepresentation
bin10011000010011110…
…01110011111010010
3222101100012122200010
421201033032133102
5131413124103200
64410130135350
7511202516151
oct114117163722
928340178603
1010221316050
114375737040
121b93121556
13c6b7c8c0a
146cd6d3598
153ec528150
hex2613ce7d2

10221316050 has 96 divisors (see below), whose sum is σ = 27695888064. Its totient is φ = 2474080000.

The previous prime is 10221315991. The next prime is 10221316051. The reversal of 10221316050 is 5061312201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221316051) 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, 1152232 + ... + 1161068.

It is an arithmetic number, because the mean of its divisors is an integer number (288498834).

Almost surely, 210221316050 is an apocalyptic number.

10221316050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221316050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847944032).

10221316050 is an abundant number, since it is smaller than the sum of its proper divisors (17474572014).

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

10221316050 is a wasteful number, since it uses less digits than its factorization.

10221316050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10221316050 its reverse (5061312201), we get a palindrome (15282628251).

The spelling of 10221316050 in words is "ten billion, two hundred twenty-one million, three hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 701 825 1402 1650 2103 3505 4206 7010 7711 8837 10515 15422 17525 17674 21030 23133 26511 35050 38555 44185 46266 52575 53022 77110 88370 97207 105150 115665 132555 192775 194414 220925 231330 265110 291621 385550 441850 486035 578325 583242 662775 972070 1156650 1325550 1458105 2430175 2916210 4860350 6194737 7290525 12389474 14581050 18584211 30973685 37168422 61947370 68142107 92921055 136284214 154868425 185842110 204426321 309736850 340710535 408852642 464605275 681421070 929210550 1022131605 1703552675 2044263210 3407105350 5110658025 10221316050