Search a number
-
+
13242143100 = 22352194156663
BaseRepresentation
bin11000101010100101…
…10001000101111100
31021011212102120100110
430111102301011330
5204104442034400
610030001030020
7646103234124
oct142522610574
937155376313
1013242143100
11568593211a
122696925310
1313305c3144
148d899bc84
15527832e50
hex3154b117c

13242143100 has 144 divisors (see below), whose sum is σ = 41314855680. Its totient is φ = 3263731200.

The previous prime is 13242143071. The next prime is 13242143107. The reversal of 13242143100 is 134124231.

It is a super-2 number, since 2×132421431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242143107) 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, 205369 + ... + 262031.

It is an arithmetic number, because the mean of its divisors is an integer number (286908720).

Almost surely, 213242143100 is an apocalyptic number.

13242143100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657427840).

13242143100 is an abundant number, since it is smaller than the sum of its proper divisors (28072712580).

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

13242143100 is a wasteful number, since it uses less digits than its factorization.

13242143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56740 (or 56733 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13242143100 its reverse (134124231), we get a palindrome (13376267331).

The spelling of 13242143100 in words is "thirteen billion, two hundred forty-two million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 41 50 57 60 75 76 82 95 100 114 123 150 164 190 205 228 246 285 300 380 410 475 492 570 615 779 820 950 1025 1140 1230 1425 1558 1900 2050 2337 2460 2850 3075 3116 3895 4100 4674 5700 6150 7790 9348 11685 12300 15580 19475 23370 38950 46740 56663 58425 77900 113326 116850 169989 226652 233700 283315 339978 566630 679956 849945 1076597 1133260 1416575 1699890 2153194 2323183 2833150 3229791 3399780 4249725 4306388 4646366 5382985 5666300 6459582 6969549 8499450 9292732 10765970 11615915 12919164 13939098 16148955 16998900 21531940 23231830 26914925 27878196 32297910 34847745 44140477 46463660 53829850 58079575 64595820 69695490 80744775 88280954 107659700 116159150 132421431 139390980 161489550 174238725 176561908 220702385 232318300 264842862 322979100 348477450 441404770 529685724 662107155 696954900 882809540 1103511925 1324214310 2207023850 2648428620 3310535775 4414047700 6621071550 13242143100