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13343033000 = 2353112110273
BaseRepresentation
bin11000110110100111…
…01000011010101000
31021102220021022021102
430123103220122220
5204311304024000
610044003300532
7651436623563
oct143323503250
937386238242
1013343033000
115727881200
12270467a748
1313484889cb
149081414da
155316113d5
hex31b4e86a8

13343033000 has 96 divisors (see below), whose sum is σ = 34319474280. Its totient is φ = 4851968000.

The previous prime is 13343032979. The next prime is 13343033021. The reversal of 13343033000 is 33034331.

It is an interprime number because it is at equal distance from previous prime (13343032979) and next prime (13343033021).

It can be written as a sum of positive squares in 4 ways, for example, as 8754596356 + 4588436644 = 93566^2 + 67738^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65864 + ... + 176136.

Almost surely, 213343033000 is an apocalyptic number.

13343033000 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 13343033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159737140).

13343033000 is an abundant number, since it is smaller than the sum of its proper divisors (20976441280).

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

13343033000 is a wasteful number, since it uses less digits than its factorization.

13343033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110316 (or 110291 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13343033000 its reverse (33034331), we get a palindrome (13376067331).

The spelling of 13343033000 in words is "thirteen billion, three hundred forty-three million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 110273 121000 220546 441092 551365 882184 1102730 1213003 2205460 2426006 2756825 4410920 4852012 5513650 6065015 9704024 11027300 12130030 13343033 13784125 22054600 24260060 26686066 27568250 30325075 48520120 53372132 55136500 60650150 66715165 106744264 110273000 121300300 133430330 151625375 242600600 266860660 303250750 333575825 533721320 606501500 667151650 1213003000 1334303300 1667879125 2668606600 3335758250 6671516500 13343033000