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13379530230 = 23251121772271
BaseRepresentation
bin11000111010111101…
…10110110111110110
31021112102221120001200
430131132312313312
5204400124431410
610051345433330
7652362062523
oct143536666766
937472846050
1013379530230
11574643a100
12271493b846
131352bc70c1
1490cd2214a
155349203c0
hex31d7b6df6

13379530230 has 144 divisors (see below), whose sum is σ = 40486485312. Its totient is φ = 3052684800.

The previous prime is 13379530211. The next prime is 13379530237. The reversal of 13379530230 is 3203597331.

13379530230 is a `hidden beast` number, since 1 + 3 + 379 + 53 + 0 + 230 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379530237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148995 + ... + 221265.

It is an arithmetic number, because the mean of its divisors is an integer number (281156148).

Almost surely, 213379530230 is an apocalyptic number.

13379530230 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 13379530230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243242656).

13379530230 is an abundant number, since it is smaller than the sum of its proper divisors (27106955082).

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

13379530230 is a wasteful number, since it uses less digits than its factorization.

13379530230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72323 (or 72309 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

It can be divided in two parts, 133795 and 30230, that added together give a square (164025 = 4052).

The spelling of 13379530230 in words is "thirteen billion, three hundred seventy-nine million, five hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 121 153 165 170 187 198 242 255 306 330 363 374 495 510 561 605 726 765 935 990 1089 1122 1210 1530 1683 1815 1870 2057 2178 2805 3366 3630 4114 5445 5610 6171 8415 10285 10890 12342 16830 18513 20570 30855 37026 61710 72271 92565 144542 185130 216813 361355 433626 650439 722710 794981 1084065 1228607 1300878 1589962 2168130 2384943 2457214 3252195 3685821 3974905 4769886 6143035 6504390 7154829 7371642 7949810 8744791 11057463 11924715 12286070 13514677 14309658 17489582 18429105 22114926 23849430 26234373 27029354 35774145 36858210 40544031 43723955 52468746 55287315 67573385 71548290 78703119 81088062 87447910 110574630 121632093 131171865 135146770 148661447 157406238 202720155 243264186 262343730 297322894 393515595 405440310 445984341 608160465 743307235 787031190 891968682 1216320930 1337953023 1486614470 2229921705 2675906046 4459843410 6689765115 13379530230