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13223013102 = 23313193472857
BaseRepresentation
bin11000101000010011…
…10010101011101110
31021010112102122221000
430110021302223232
5204040042404402
610024035021130
7645451520415
oct142411625356
937115378830
1013223013102
115676056502
12269043a7a6
131329655a10
148d621c47c
15525d04c1c
hex314272aee

13223013102 has 128 divisors (see below), whose sum is σ = 33418022400. Its totient is φ = 3842028288.

The previous prime is 13223013019. The next prime is 13223013103. The reversal of 13223013102 is 20131032231.

13223013102 is a `hidden beast` number, since 1 + 322 + 30 + 1 + 310 + 2 = 666.

13223013102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223013103) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4626858 + ... + 4629714.

It is an arithmetic number, because the mean of its divisors is an integer number (261078300).

Almost surely, 213223013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709011200).

13223013102 is an abundant number, since it is smaller than the sum of its proper divisors (20195009298).

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

13223013102 is a wasteful number, since it uses less digits than its factorization.

13223013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13223013102 its reverse (20131032231), we get a palindrome (33354045333).

The spelling of 13223013102 in words is "thirteen billion, two hundred twenty-three million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 347 351 494 513 694 702 741 1026 1041 1482 2082 2223 2857 3123 4446 4511 5714 6246 6593 6669 8571 9022 9369 13186 13338 13533 17142 18738 19779 25713 27066 37141 39558 40599 51426 54283 59337 74282 77139 81198 85709 108566 111423 118674 121797 154278 162849 171418 178011 222846 243594 257127 325698 334269 356022 488547 514254 668538 705679 771381 977094 991379 1002807 1411358 1465641 1542762 1982758 2005614 2117037 2314143 2931282 2974137 4234074 4628286 5948274 6351111 8922411 12702222 12887927 17844822 18836201 19053333 25775854 26767233 37672402 38106666 38663781 53534466 56508603 77327562 113017206 115991343 169525809 231982686 244870613 339051618 347974029 489741226 508577427 695948058 734611839 1017154854 1469223678 2203835517 4407671034 6611506551 13223013102