Search a number
-
+
13333320320 = 275175920771
BaseRepresentation
bin11000110101011101…
…00101001010000000
31021102012222211222112
430122232211022000
5204301312222240
610043015154452
7651261231665
oct143256451200
937365884875
1013333320320
1157223479a1
122701375a28
131346467b68
14906b33a6c
15530843665
hex31aba5280

13333320320 has 128 divisors (see below), whose sum is σ = 34323652800. Its totient is φ = 4934287360.

The previous prime is 13333320307. The next prime is 13333320323. The reversal of 13333320320 is 2302333331.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13333320323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631535 + ... + 652305.

Almost surely, 213333320320 is an apocalyptic number.

13333320320 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 13333320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161826400).

13333320320 is an abundant number, since it is smaller than the sum of its proper divisors (20990332480).

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

13333320320 is a wasteful number, since it uses less digits than its factorization.

13333320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20866 (or 20854 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 13333320320 its reverse (2302333331), we get a palindrome (15635653651).

The spelling of 13333320320 in words is "thirteen billion, three hundred thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 236 272 295 320 340 472 544 590 640 680 944 1003 1088 1180 1360 1888 2006 2176 2360 2720 3776 4012 4720 5015 5440 7552 8024 9440 10030 10880 16048 18880 20060 20771 32096 37760 40120 41542 64192 80240 83084 103855 128384 160480 166168 207710 320960 332336 353107 415420 641920 664672 706214 830840 1225489 1329344 1412428 1661680 1765535 2450978 2658688 2824856 3323360 3531070 4901956 5649712 6127445 6646720 7062140 9803912 11299424 12254890 13293440 14124280 19607824 20833313 22598848 24509780 28248560 39215648 41666626 45197696 49019560 56497120 78431296 83333252 98039120 104166565 112994240 156862592 166666504 196078240 208333130 225988480 333333008 392156480 416666260 666666016 784312960 833332520 1333332032 1666665040 2666664064 3333330080 6666660160 13333320320