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13301022000 = 243537316691
BaseRepresentation
bin11000110001100110…
…10111110100110000
31021022222012221000110
430120303113310300
5204220030201000
610035503021320
7650416551540
oct143063276460
937288187013
1013301022000
115706097772
1226b259a840
13133c869a26
14902727320
1552cab3850
hex318cd7d30

13301022000 has 160 divisors (see below), whose sum is σ = 49008720384. Its totient is φ = 3040224000.

The previous prime is 13301021963. The next prime is 13301022041. The reversal of 13301022000 is 22010331.

It is a happy number.

13301022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116346 + ... + 200345.

Almost surely, 213301022000 is an apocalyptic number.

13301022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301022000 is an abundant number, since it is smaller than the sum of its proper divisors (35707698384).

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

13301022000 is a wasteful number, since it uses less digits than its factorization.

13301022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316724 (or 316708 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13301022000 its reverse (22010331), we get a palindrome (13323032331).

The spelling of 13301022000 in words is "thirteen billion, three hundred one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 316691 633382 950073 1266764 1583455 1900146 2216837 2533528 3166910 3800292 4433674 4750365 5067056 6333820 6650511 7600584 7917275 8867348 9500730 11084185 12667640 13301022 15201168 15834550 17734696 19001460 22168370 23751825 25335280 26602044 31669100 33252555 35469392 38002920 39586375 44336740 47503650 53204088 55420925 63338200 66505110 76005840 79172750 88673480 95007300 106408176 110841850 118759125 126676400 133010220 158345500 166262775 177346960 190014600 221683700 237518250 266020440 277104625 316691000 332525550 380029200 443367400 475036500 532040880 554209250 633382000 665051100 831313875 886734800 950073000 1108418500 1330102200 1662627750 1900146000 2216837000 2660204400 3325255500 4433674000 6650511000 13301022000