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13223000010 = 235111715715013
BaseRepresentation
bin11000101000010011…
…01111011111001010
31021010112101222222010
430110021233133022
5204040042000020
610024034440350
7645451434303
oct142411573712
937115358863
1013223000010
115676047690
1226904330b6
13132964ca7c
148d62177aa
15525d00de0
hex31426f7ca

13223000010 has 128 divisors (see below), whose sum is σ = 36892641024. Its totient is φ = 2997596160.

The previous prime is 13222999981. The next prime is 13223000029. The reversal of 13223000010 is 1000032231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13223000010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873264 + ... + 888276.

It is an arithmetic number, because the mean of its divisors is an integer number (288223758).

Almost surely, 213223000010 is an apocalyptic number.

13223000010 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 13223000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446320512).

13223000010 is an abundant number, since it is smaller than the sum of its proper divisors (23669641014).

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

13223000010 is a wasteful number, since it uses less digits than its factorization.

13223000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15208.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13223000010 its reverse (1000032231), we get a palindrome (14223032241).

The spelling of 13223000010 in words is "thirteen billion, two hundred twenty-three million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 157 165 170 187 255 314 330 374 471 510 561 785 935 942 1122 1570 1727 1870 2355 2669 2805 3454 4710 5181 5338 5610 8007 8635 10362 13345 15013 16014 17270 25905 26690 29359 30026 40035 45039 51810 58718 75065 80070 88077 90078 146795 150130 165143 176154 225195 255221 293590 330286 440385 450390 495429 510442 765663 825715 880770 990858 1276105 1531326 1651430 2357041 2477145 2552210 2807431 3828315 4714082 4954290 5614862 7071123 7656630 8422293 11785205 14037155 14142246 16844586 23570410 25927451 28074310 35355615 40069697 42111465 51854902 70711230 77782353 80139394 84222930 120209091 129637255 155564706 200348485 240418182 259274510 388911765 400696970 440766667 601045455 777823530 881533334 1202090910 1322300001 2203833335 2644600002 4407666670 6611500005 13223000010