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21330431303232 = 2631311423595967
BaseRepresentation
bin1001101100110011000001…
…10001111101111001000000
32210112011120102200100001210
410312121200301331321000
510243434210403200412
6113211022002130120
74331033654351052
oct466314061757100
983464512610053
1021330431303232
116884204429807
122485b92350940
13bb95b2c24a7c
1453a5812438d2
1526ecc06cd83c
hex136660c7de40

21330431303232 has 112 divisors (see below), whose sum is σ = 56907639816192. Its totient is φ = 7050897584640.

The previous prime is 21330431303213. The next prime is 21330431303243. The reversal of 21330431303232 is 23230313403312.

It is a self number, because there is not a number n which added to its sum of digits gives 21330431303232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35493313 + ... + 36089279.

Almost surely, 221330431303232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330431303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28453819908096).

21330431303232 is an abundant number, since it is smaller than the sum of its proper divisors (35577208512960).

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

21330431303232 is a wasteful number, since it uses less digits than its factorization.

21330431303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597536 (or 597526 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 21330431303232 its reverse (23230313403312), we get a palindrome (44560744706544).

The spelling of 21330431303232 in words is "twenty-one trillion, three hundred thirty billion, four hundred thirty-one million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1423 1572 2096 2846 3144 4192 4269 5692 6288 8384 8538 11384 12576 17076 22768 25152 34152 45536 68304 91072 136608 186413 273216 372826 559239 595967 745652 1118478 1191934 1491304 1787901 2236956 2383868 2982608 3575802 4473912 4767736 5965216 7151604 8947824 9535472 11930432 14303208 17895648 19070944 28606416 35791296 38141888 57212832 78071677 114425664 156143354 234215031 312286708 468430062 624573416 848061041 936860124 1249146832 1696122082 1873720248 2498293664 2544183123 3392244164 3747440496 4996587328 5088366246 6784488328 7494880992 10176732492 13568976656 14989761984 20353464984 27137953312 40706929968 54275906624 81413859936 111095996371 162827719872 222191992742 333287989113 444383985484 666575978226 888767970968 1333151956452 1777535941936 2666303912904 3555071883872 5332607825808 7110143767744 10665215651616 21330431303232