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13220320302 = 23271391794217
BaseRepresentation
bin11000100111111111…
…00001010000101110
31021010100100212002200
430103333201100232
5204033400222202
610023501202330
7645416603610
oct142377412056
937110325080
1013220320302
115674587352
12268b5603a6
131328c22147
148d5b1adb0
15525971e1c
hex313fe142e

13220320302 has 96 divisors (see below), whose sum is σ = 33163603200. Its totient is φ = 3728225664.

The previous prime is 13220320291. The next prime is 13220320303. The reversal of 13220320302 is 20302302231.

It is a happy number.

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 (13220320303) 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, 3132898 + ... + 3137114.

It is an arithmetic number, because the mean of its divisors is an integer number (345454200).

Almost surely, 213220320302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220320302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581801600).

13220320302 is an abundant number, since it is smaller than the sum of its proper divisors (19943282898).

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

13220320302 is a wasteful number, since it uses less digits than its factorization.

13220320302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13220320302 its reverse (20302302231), we get a palindrome (33522622533).

The spelling of 13220320302 in words is "thirteen billion, two hundred twenty million, three hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 179 278 358 417 537 834 973 1074 1251 1253 1611 1946 2502 2506 2919 3222 3759 4217 5838 7518 8434 8757 11277 12651 17514 22554 24881 25302 29519 37953 49762 59038 74643 75906 88557 149286 174167 177114 223929 265671 348334 447858 522501 531342 586163 754843 1045002 1172326 1509686 1567503 1758489 2264529 3135006 3516978 4103141 4529058 5275467 5283901 6793587 8206282 10550934 10567802 12309423 13587174 15851703 24618846 31703406 36928269 47555109 73856538 95110218 104923177 209846354 314769531 629539062 734462239 944308593 1468924478 1888617186 2203386717 4406773434 6610160151 13220320302