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13321030031320 = 23511331577158519
BaseRepresentation
bin1100000111011000101101…
…0000110101011111011000
31202011110220111010211121111
43001312023100311133120
53221222432142000240
644155332520150104
72543261354010514
oct301661320653730
952143814124544
1013321030031320
1142764651a0870
1215b1856008334
137582246b512b
14340a54177144
1518179d2261ea
hexc1d8b4357d8

13321030031320 has 128 divisors (see below), whose sum is σ = 32852902233600. Its totient is φ = 4820976230400.

The previous prime is 13321030031299. The next prime is 13321030031329. The reversal of 13321030031320 is 2313003012331.

13321030031320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13321030031291 and 13321030031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321030031329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83955021 + ... + 84113539.

It is an arithmetic number, because the mean of its divisors is an integer number (256663298700).

Almost surely, 213321030031320 is an apocalyptic number.

13321030031320 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 13321030031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426451116800).

13321030031320 is an abundant number, since it is smaller than the sum of its proper divisors (19531872202280).

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

13321030031320 is a wasteful number, since it uses less digits than its factorization.

13321030031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159449 (or 159445 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13321030031320 its reverse (2313003012331), we get a palindrome (15634033043651).

The spelling of 13321030031320 in words is "thirteen trillion, three hundred twenty-one billion, thirty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 331 440 577 662 1154 1324 1655 2308 2648 2885 3310 3641 4616 5770 6347 6620 7282 11540 12694 13240 14564 18205 23080 25388 29128 31735 36410 50776 63470 72820 126940 145640 158519 190987 253880 317038 381974 634076 763948 792595 954935 1268152 1527896 1585190 1743709 1909870 2100857 3170380 3487418 3819740 4201714 6340760 6974836 7639480 8403428 8718545 10504285 13949672 16806856 17437090 21008570 34874180 42017140 52469789 69748360 84034280 91465463 104939578 182930926 209879156 262348945 365861852 419758312 457327315 524697890 577167679 731723704 914654630 1006120093 1049395780 1154335358 1829309260 2012240186 2098791560 2308670716 2885838395 3658618520 4024480372 4617341432 5030600465 5771676790 8048960744 10061200930 11543353580 20122401860 23086707160 30275068253 40244803720 60550136506 121100273012 151375341265 242200546024 302750682530 333025750783 605501365060 666051501566 1211002730120 1332103003132 1665128753915 2664206006264 3330257507830 6660515015660 13321030031320