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13030130023120 = 2457214092359129
BaseRepresentation
bin1011110110011101000001…
…0001010111101011010000
31201010200001011110021211201
42331213100101113223100
53201441201241214440
643413543055320544
72513252524515400
oct275472021275320
951120034407751
1013030130023120
114174057781051
1215653b0220154
13736974c76672
14330939838800
15178e248e619a
hexbd9d0457ad0

13030130023120 has 120 divisors (see below), whose sum is σ = 35266209726600. Its totient is φ = 4464300589056.

The previous prime is 13030130023093. The next prime is 13030130023121. The reversal of 13030130023120 is 2132003103031.

13030130023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50855662144 + 12979274360976 = 225512^2 + 3602676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030130023121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4343716 + ... + 6702844.

It is an arithmetic number, because the mean of its divisors is an integer number (293885081055).

Almost surely, 213030130023120 is an apocalyptic number.

13030130023120 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 13030130023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633104863300).

13030130023120 is an abundant number, since it is smaller than the sum of its proper divisors (22236079703480).

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

13030130023120 is a wasteful number, since it uses less digits than its factorization.

13030130023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360565 (or 2360552 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13030130023120 its reverse (2132003103031), we get a palindrome (15162133126151).

The spelling of 13030130023120 in words is "thirteen trillion, thirty billion, one hundred thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1409 1960 2818 3920 5636 7045 9863 11272 14090 19726 22544 28180 39452 49315 56360 69041 78904 98630 112720 138082 157808 197260 276164 345205 394520 552328 690410 789040 1104656 1380820 2359129 2761640 4718258 5523280 9436516 11795645 16513903 18873032 23591290 33027806 37746064 47182580 66055612 82569515 94365160 115597321 132111224 165139030 188730320 231194642 264222448 330278060 462389284 577986605 660556120 924778568 1155973210 1321112240 1849557136 2311946420 3324012761 4623892840 6648025522 9247785680 13296051044 16620063805 23268089327 26592102088 33240127610 46536178654 53184204176 66480255220 93072357308 116340446635 132960510440 162876625289 186144714616 232680893270 265921020880 325753250578 372289429232 465361786540 651506501156 814383126445 930723573080 1303013002312 1628766252890 1861447146160 2606026004624 3257532505780 6515065011560 13030130023120