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13213222320 = 2435432515101
BaseRepresentation
bin11000100111001000…
…11100010110110000
31021002212000020111110
430103210130112300
5204030041103240
610023045113320
7645302352024
oct142344342660
937085006443
1013213222320
115670579551
1226890b8840
13132760845c
148d4bd0384
1552501dc80
hex31391c5b0

13213222320 has 160 divisors (see below), whose sum is σ = 42088806144. Its totient is φ = 3427200000.

The previous prime is 13213222271. The next prime is 13213222357. The reversal of 13213222320 is 2322231231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587770 + ... + 2592870.

Almost surely, 213213222320 is an apocalyptic number.

13213222320 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 13213222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044403072).

13213222320 is an abundant number, since it is smaller than the sum of its proper divisors (28875583824).

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

13213222320 is a wasteful number, since it uses less digits than its factorization.

13213222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13213222320 its reverse (2322231231), we get a palindrome (15535453551).

The spelling of 13213222320 in words is "thirteen billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 251 258 344 430 502 516 645 688 753 860 1004 1032 1255 1290 1506 1720 2008 2064 2510 2580 3012 3440 3765 4016 5020 5101 5160 6024 7530 10040 10202 10320 10793 12048 15060 15303 20080 20404 21586 25505 30120 30606 32379 40808 43172 51010 53965 60240 61212 64758 76515 81616 86344 102020 107930 122424 129516 153030 161895 172688 204040 215860 219343 244848 259032 306060 323790 408080 431720 438686 518064 612120 647580 658029 863440 877372 1096715 1224240 1280351 1295160 1316058 1754744 2193430 2560702 2590320 2632116 3290145 3509488 3841053 4386860 5121404 5264232 6401755 6580290 7682106 8773720 10242808 10528464 12803510 13160580 15364212 17547440 19205265 20485616 25607020 26321160 30728424 38410530 51214040 52642320 55055093 61456848 76821060 102428080 110110186 153642120 165165279 220220372 275275465 307284240 330330558 440440744 550550930 660661116 825826395 880881488 1101101860 1321322232 1651652790 2202203720 2642644464 3303305580 4404407440 6606611160 13213222320