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13021032320 = 27523911971
BaseRepresentation
bin11000010000001110…
…10010111110000000
31020121110100222101022
430020013102332000
5203131341013240
65552021525012
7640446643232
oct141007227600
936543328338
1013021032320
11558204033a
122634873768
1312c6856c6a
148b7482252
155132089b5
hex3081d2f80

13021032320 has 128 divisors (see below), whose sum is σ = 32550958080. Its totient is φ = 4971366400.

The previous prime is 13021032313. The next prime is 13021032379. The reversal of 13021032320 is 2323012031.

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

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, 13409435 + ... + 13410405.

It is an arithmetic number, because the mean of its divisors is an integer number (254304360).

Almost surely, 213021032320 is an apocalyptic number.

13021032320 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 13021032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275479040).

13021032320 is an abundant number, since it is smaller than the sum of its proper divisors (19529925760).

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

13021032320 is an equidigital number, since it uses as much as digits as its factorization.

13021032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1912 counting only the distinct ones).

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

Adding to 13021032320 its reverse (2323012031), we get a palindrome (15344044351).

The spelling of 13021032320 in words is "thirteen billion, twenty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 911 920 971 1472 1822 1840 1942 2944 3644 3680 3884 4555 4855 7288 7360 7768 9110 9710 14576 14720 15536 18220 19420 20953 22333 29152 31072 36440 38840 41906 44666 58304 62144 72880 77680 83812 89332 104765 111665 116608 124288 145760 155360 167624 178664 209530 223330 291520 310720 335248 357328 419060 446660 583040 621440 670496 714656 838120 884581 893320 1340992 1429312 1676240 1769162 1786640 2681984 2858624 3352480 3538324 3573280 4422905 6704960 7076648 7146560 8845810 13409920 14153296 14293120 17691620 20345363 28306592 35383240 40690726 56613184 70766480 81381452 101726815 113226368 141532960 162762904 203453630 283065920 325525808 406907260 566131840 651051616 813814520 1302103232 1627629040 2604206464 3255258080 6510516160 13021032320