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13002021030300 = 22352434967202921
BaseRepresentation
bin1011110100110100010011…
…0110000100100110011100
31201000222111012102111122120
42331031010312010212130
53201011114340432200
643353013534142540
72511236126153121
oct275150466044634
951028435374576
1013002021030300
114163142a00775
12155ba66651a50
137341155b6b33
1432d4305d6748
1517832bd009a0
hexbd344d8499c

13002021030300 has 144 divisors (see below), whose sum is σ = 38501985215232. Its totient is φ = 3385874419200.

The previous prime is 13002021030281. The next prime is 13002021030307. The reversal of 13002021030300 is 303012020031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13002021030300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002021030307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63972840 + ... + 64175760.

It is an arithmetic number, because the mean of its divisors is an integer number (267374897328).

Almost surely, 213002021030300 is an apocalyptic number.

13002021030300 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 13002021030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19250992607616).

13002021030300 is an abundant number, since it is smaller than the sum of its proper divisors (25499964184932).

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

13002021030300 is a wasteful number, since it uses less digits than its factorization.

13002021030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207948 (or 207941 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13002021030300 its reverse (303012020031), we get a palindrome (13305033050331).

The spelling of 13002021030300 in words is "thirteen trillion, two billion, twenty-one million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 4967 6450 9934 12900 14901 19868 24835 29802 49670 59604 74505 99340 124175 149010 202921 213581 248350 298020 372525 405842 427162 496700 608763 640743 745050 811684 854324 1014605 1067905 1217526 1281486 1490100 2029210 2135810 2435052 2562972 3043815 3203715 4058420 4271620 5073025 5339525 6087630 6407430 8725603 10146050 10679050 12175260 12814860 15219075 16018575 17451206 20292100 21358100 26176809 30438150 32037150 34902412 43628015 52353618 60876300 64074300 87256030 104707236 130884045 174512060 218140075 261768090 436280150 523536180 654420225 872560300 1007908607 1308840450 2015817214 2617680900 3023725821 4031634428 5039543035 6047451642 10079086070 12094903284 15118629105 20158172140 25197715175 30237258210 43340070101 50395430350 60474516420 75593145525 86680140202 100790860700 130020210303 151186291050 173360280404 216700350505 260040420606 302372582100 433400701010 520080841212 650101051515 866801402020 1083501752525 1300202103030 2167003505050 2600404206060 3250505257575 4334007010100 6501010515150 13002021030300