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13330131000 = 233538235399
BaseRepresentation
bin11000110101000100…
…11010100000111000
31021101222222211001120
430122202122200320
5204300003143000
610042422545240
7651222146454
oct143242324070
937358884046
1013330131000
11572056979a
122700298220
1313458bc2a4
14906543664
155304136a0
hex31a89a838

13330131000 has 128 divisors (see below), whose sum is σ = 41648256000. Its totient is φ = 3549724800.

The previous prime is 13330130959. The next prime is 13330131019. The reversal of 13330131000 is 13103331.

It is a super-2 number, since 2×133301310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 2466301 + ... + 2471699.

It is an arithmetic number, because the mean of its divisors is an integer number (325377000).

Almost surely, 213330131000 is an apocalyptic number.

13330131000 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 13330131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824128000).

13330131000 is an abundant number, since it is smaller than the sum of its proper divisors (28318125000).

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

13330131000 is a wasteful number, since it uses less digits than its factorization.

13330131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13330131000 its reverse (13103331), we get a palindrome (13343234331).

The spelling of 13330131000 in words is "thirteen billion, three hundred thirty million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 823 1000 1500 1646 2469 3000 3292 4115 4938 5399 6584 8230 9876 10798 12345 16197 16460 19752 20575 21596 24690 26995 32394 32920 41150 43192 49380 53990 61725 64788 80985 82300 98760 102875 107980 123450 129576 134975 161970 164600 205750 215960 246900 269950 308625 323940 404925 411500 493800 539900 617250 647880 674875 809850 823000 1079800 1234500 1349750 1619700 2024625 2469000 2699500 3239400 4049250 4443377 5399000 8098500 8886754 13330131 16197000 17773508 22216885 26660262 35547016 44433770 53320524 66650655 88867540 106641048 111084425 133301310 177735080 222168850 266602620 333253275 444337700 533205240 555422125 666506550 888675400 1110844250 1333013100 1666266375 2221688500 2666026200 3332532750 4443377000 6665065500 13330131000