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13320230312032 = 257732374734303
BaseRepresentation
bin1100000111010101101110…
…0110001001100001100000
31202011101211202022212222121
43001311123212021201200
53221214312424441112
644155121311314024
72543232503343430
oct301653346114140
952141752285877
1013320230312032
114276094831936
1215b167221b914
13758127accc57
143409b9c822c0
15181752e07407
hexc1d5b989860

13320230312032 has 96 divisors (see below), whose sum is σ = 30383238316032. Its totient is φ = 5630067938304.

The previous prime is 13320230311967. The next prime is 13320230312033. The reversal of 13320230312032 is 23021303202331.

It is a super-2 number, since 2×133202303120322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13320230311988 and 13320230312006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320230312033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388293793 + ... + 388328095.

It is an arithmetic number, because the mean of its divisors is an integer number (316492065792).

Almost surely, 213320230312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320230312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191619158016).

13320230312032 is an abundant number, since it is smaller than the sum of its proper divisors (17063008004000).

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

13320230312032 is a wasteful number, since it uses less digits than its factorization.

13320230312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58140 (or 58132 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 13320230312032 its reverse (23021303202331), we get a palindrome (36341533514363).

The spelling of 13320230312032 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 16352 23747 34303 47494 68606 94988 137212 166229 189976 240121 274424 332458 379952 480242 548848 664916 759904 960484 1097696 1329832 1733531 1920968 2504119 2659664 3467062 3841936 5008238 5319328 6934124 7683872 10016476 12134717 13868248 17528833 20032952 24269434 27736496 35057666 40065904 48538868 55472992 70115332 80131808 97077736 140230664 194155472 280461328 388310944 560922656 814593341 1629186682 3258373364 5702153387 6516746728 11404306774 13033493456 22808613548 26066986912 45617227096 59465313893 91234454192 118930627786 182468908384 237861255572 416257197251 475722511144 832514394502 951445022288 1665028789004 1902890044576 3330057578008 6660115156016 13320230312032