Search a number
-
+
13331030333320 = 2357431553712961
BaseRepresentation
bin1100000111111101111101…
…0100111101011110001000
31202012102201102110211000001
43001333133110331132020
53221403422231131240
644204105113252344
72544064234121110
oct301773724753610
952172642424001
1013331030333320
11427a7270a1767
1215b37871040b4
13759159479bab
14341322378040
15181b8614389a
hexc1fdf53d788

13331030333320 has 128 divisors (see below), whose sum is σ = 35099632592640. Its totient is φ = 4461464125440.

The previous prime is 13331030333287. The next prime is 13331030333347. The reversal of 13331030333320 is 2333303013331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18341640 + ... + 19054600.

It is an arithmetic number, because the mean of its divisors is an integer number (274215879630).

Almost surely, 213331030333320 is an apocalyptic number.

13331030333320 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 13331030333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549816296320).

13331030333320 is an abundant number, since it is smaller than the sum of its proper divisors (21768602259320).

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

13331030333320 is a wasteful number, since it uses less digits than its factorization.

13331030333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714575 (or 714571 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 13331030333320 its reverse (2333303013331), we get a palindrome (15664333346651).

The spelling of 13331030333320 in words is "thirteen trillion, three hundred thirty-one billion, thirty million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1553 1720 2408 3010 3106 6020 6212 7765 10871 12040 12424 15530 21742 31060 43484 54355 62120 66779 86968 108710 133558 217420 267116 333895 434840 467453 534232 667790 712961 934906 1335580 1425922 1869812 2337265 2671160 2851844 3564805 3739624 4674530 4990727 5703688 7129610 9349060 9981454 14259220 18698120 19962908 24953635 28518440 30657323 39925816 49907270 61314646 99814540 122629292 153286615 199629080 214601261 245258584 306573230 429202522 613146460 858405044 1073006305 1107228433 1226292920 1716810088 2146012610 2214456866 4292025220 4428913732 5536142165 7750599031 8584050440 8857827464 11072284330 15501198062 22144568660 31002396124 38752995155 44289137320 47610822619 62004792248 77505990310 95221645238 155011980620 190443290476 238054113095 310023961240 333275758333 380886580952 476108226190 666551516666 952216452380 1333103033332 1666378791665 1904432904760 2666206066664 3332757583330 6665515166660 13331030333320