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13300412000 = 255315721179
BaseRepresentation
bin11000110001100010…
…00010111001100000
31021022221001221020212
430120301002321200
5204214401141000
610035441553252
7650411431241
oct143061027140
937287057225
1013300412000
115705810437
1226b2345828
13133c6b5195
14902608cc8
1552c9e2c35
hex318c42e60

13300412000 has 96 divisors (see below), whose sum is σ = 32888812320. Its totient is φ = 5286028800.

The previous prime is 13300411961. The next prime is 13300412011. The reversal of 13300412000 is 21400331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617411 + ... + 638589.

It is an arithmetic number, because the mean of its divisors is an integer number (342591795).

Almost surely, 213300412000 is an apocalyptic number.

13300412000 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 13300412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444406160).

13300412000 is an abundant number, since it is smaller than the sum of its proper divisors (19588400320).

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

13300412000 is a wasteful number, since it uses less digits than its factorization.

13300412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21361 (or 21343 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13300412000 its reverse (21400331), we get a palindrome (13321812331).

The spelling of 13300412000 in words is "thirteen billion, three hundred million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 628 785 800 1000 1256 1570 2000 2512 3140 3925 4000 5024 6280 7850 12560 15700 19625 21179 25120 31400 39250 42358 62800 78500 84716 105895 125600 157000 169432 211790 314000 338864 423580 529475 628000 677728 847160 1058950 1694320 2117900 2647375 3325103 3388640 4235800 5294750 6650206 8471600 10589500 13300412 16625515 16943200 21179000 26600824 33251030 42358000 53201648 66502060 83127575 84716000 106403296 133004120 166255150 266008240 332510300 415637875 532016480 665020600 831275750 1330041200 1662551500 2660082400 3325103000 6650206000 13300412000