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13323705420 = 22352319150549
BaseRepresentation
bin11000110100010011…
…11001110001001100
31021101112220100211010
430122021321301030
5204241332033140
610042033125220
7651113425134
oct143211716114
937345810733
1013323705420
1157179800a3
1226ba0b9810
13134447c67c
1490574dac4
1552ea94880
hex31a279c4c

13323705420 has 96 divisors (see below), whose sum is σ = 39132979200. Its totient is φ = 3380650240.

The previous prime is 13323705413. The next prime is 13323705467. The reversal of 13323705420 is 2450732331.

It is a super-2 number, since 2×133237054202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 238306 + ... + 288854.

It is an arithmetic number, because the mean of its divisors is an integer number (407635200).

Almost surely, 213323705420 is an apocalyptic number.

13323705420 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 13323705420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566489600).

13323705420 is an abundant number, since it is smaller than the sum of its proper divisors (25809273780).

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

13323705420 is a wasteful number, since it uses less digits than its factorization.

13323705420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50775 (or 50773 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 13323705420 in words is "thirteen billion, three hundred twenty-three million, seven hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 191 230 276 345 382 460 573 690 764 955 1146 1380 1910 2292 2865 3820 4393 5730 8786 11460 13179 17572 21965 26358 43930 50549 52716 65895 87860 101098 131790 151647 202196 252745 263580 303294 505490 606588 758235 1010980 1162627 1516470 2325254 3032940 3487881 4650508 5813135 6975762 9654859 11626270 13951524 17439405 19309718 23252540 28964577 34878810 38619436 48274295 57929154 69757620 96548590 115858308 144822885 193097180 222061757 289645770 444123514 579291540 666185271 888247028 1110308785 1332370542 2220617570 2664741084 3330926355 4441235140 6661852710 13323705420