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13021302320 = 24513171993701
BaseRepresentation
bin11000010000010000…
…10100111000110000
31020121110212200202022
430020020110320300
5203131423133240
65552031411012
7640452146345
oct141010247060
936543780668
1013021302320
115582205184
122634983a68
1312c691cb20
148b75127cc
1551325d9b5
hex308214e30

13021302320 has 160 divisors (see below), whose sum is σ = 34704028800. Its totient is φ = 4501094400.

The previous prime is 13021302313. The next prime is 13021302323. The reversal of 13021302320 is 2320312031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (13021302323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516470 + ... + 3520170.

It is an arithmetic number, because the mean of its divisors is an integer number (216900180).

Almost surely, 213021302320 is an apocalyptic number.

13021302320 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 13021302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352014400).

13021302320 is an abundant number, since it is smaller than the sum of its proper divisors (21682726480).

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

13021302320 is a wasteful number, since it uses less digits than its factorization.

13021302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13021302320 its reverse (2320312031), we get a palindrome (15341614351).

The spelling of 13021302320 in words is "thirteen billion, twenty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 199 208 221 260 272 340 398 442 520 680 796 884 995 1040 1105 1360 1592 1768 1990 2210 2587 3184 3383 3536 3701 3980 4420 5174 6766 7402 7960 8840 10348 12935 13532 14804 15920 16915 17680 18505 20696 25870 27064 29608 33830 37010 41392 43979 48113 51740 54128 59216 62917 67660 74020 87958 96226 103480 125834 135320 148040 175916 192452 206960 219895 240565 251668 270640 296080 314585 351832 384904 439790 481130 503336 629170 703664 736499 769808 817921 879580 962260 1006672 1258340 1472998 1635842 1759160 1924520 2516680 2945996 3271684 3518320 3682495 3849040 4089605 5033360 5891992 6543368 7364990 8179210 9574487 11783984 12520483 13086736 14729980 16358420 19148974 25040966 29459960 32716840 38297948 47872435 50081932 58919920 62602415 65433680 76595896 95744870 100163864 125204830 153191792 162766279 191489740 200327728 250409660 325532558 382979480 500819320 651065116 765958960 813831395 1001638640 1302130232 1627662790 2604260464 3255325580 6510651160 13021302320