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13530342330 = 23351719914813
BaseRepresentation
bin11001001100111100…
…01010001110111010
31021220221201121101000
430212132022032322
5210202231423310
610114334105430
7656203004121
oct144636121672
937827647330
1013530342330
1158135864aa
12275734b276
13137821b82b
14924d7cab8
15542cb04c0
hex32678a3ba

13530342330 has 128 divisors (see below), whose sum is σ = 38397888000. Its totient is φ = 3378557952.

The previous prime is 13530342323. The next prime is 13530342409. The reversal of 13530342330 is 3324303531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13530342294 and 13530342303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 906004 + ... + 920816.

It is an arithmetic number, because the mean of its divisors is an integer number (299983500).

Almost surely, 213530342330 is an apocalyptic number.

13530342330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530342330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19198944000).

13530342330 is an abundant number, since it is smaller than the sum of its proper divisors (24867545670).

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

13530342330 is a wasteful number, since it uses less digits than its factorization.

13530342330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15045 (or 15039 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 13530342330 its reverse (3324303531), we get a palindrome (16854645861).

The spelling of 13530342330 in words is "thirteen billion, five hundred thirty million, three hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 199 255 270 306 398 459 510 597 765 918 995 1194 1530 1791 1990 2295 2985 3383 3582 4590 5373 5970 6766 8955 10149 10746 14813 16915 17910 20298 26865 29626 30447 33830 44439 50745 53730 60894 74065 88878 91341 101490 133317 148130 152235 182682 222195 251821 266634 304470 399951 444390 456705 503642 666585 755463 799902 913410 1259105 1333170 1510926 1999755 2266389 2518210 2947787 3777315 3999510 4532778 5895574 6799167 7554630 8843361 11331945 13598334 14738935 17686722 22663890 26530083 29477870 33995835 44216805 50112379 53060166 67991670 79590249 88433610 100224758 132650415 150337137 159180498 250561895 265300830 300674274 397951245 451011411 501123790 751685685 795902490 902022822 1353034233 1503371370 2255057055 2706068466 4510114110 6765171165 13530342330