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13220123130 = 2335611037793
BaseRepresentation
bin11000100111111101…
…10001000111111010
31021010022222211122000
430103332301013322
5204033322420010
610023453041430
7645415123014
oct142376610772
937108884560
1013220123130
1156744621a5
12268b486276
131328b83486
148d5aa91b4
155259337c0
hex313fb11fa

13220123130 has 128 divisors (see below), whose sum is σ = 36184112640. Its totient is φ = 3433466880.

The previous prime is 13220123129. The next prime is 13220123131. The reversal of 13220123130 is 3132102231.

It is an interprime number because it is at equal distance from previous prime (13220123129) and next prime (13220123131).

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

It is not an unprimeable number, because it can be changed into a prime (13220123131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1692514 + ... + 1700306.

It is an arithmetic number, because the mean of its divisors is an integer number (282688380).

Almost surely, 213220123130 is an apocalyptic number.

13220123130 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 13220123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092056320).

13220123130 is an abundant number, since it is smaller than the sum of its proper divisors (22963989510).

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

13220123130 is a wasteful number, since it uses less digits than its factorization.

13220123130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7967 counting only the distinct ones).

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

Adding to 13220123130 its reverse (3132102231), we get a palindrome (16352225361).

The spelling of 13220123130 in words is "thirteen billion, two hundred twenty million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 103 122 135 183 206 270 305 309 366 515 549 610 618 915 927 1030 1098 1545 1647 1830 1854 2745 2781 3090 3294 4635 5490 5562 6283 7793 8235 9270 12566 13905 15586 16470 18849 23379 27810 31415 37698 38965 46758 56547 62830 70137 77930 94245 113094 116895 140274 169641 188490 210411 233790 282735 339282 350685 420822 475373 565470 701370 802679 848205 950746 1052055 1426119 1605358 1696410 2104110 2376865 2408037 2852238 4013395 4278357 4753730 4816074 7130595 7224111 8026790 8556714 12040185 12835071 14261190 14448222 21391785 21672333 24080370 25670142 36120555 42783570 43344666 48963419 64175355 72241110 97926838 108361665 128350710 146890257 216723330 244817095 293780514 440670771 489634190 734451285 881341542 1322012313 1468902570 2203353855 2644024626 4406707710 6610061565 13220123130