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21330033312 = 253747214369
BaseRepresentation
bin10011110111010111…
…100111101010100000
32001001112012221221210
4103313113213222200
5322140442031222
613444320350120
71353402202020
oct236727475240
961045187853
1021330033312
11905627a805
124173475340
13201c0c9ab3
141064bc3a80
1584c8ded0c
hex4f75e7aa0

21330033312 has 144 divisors (see below), whose sum is σ = 65385109440. Its totient is φ = 5964214272.

The previous prime is 21330033287. The next prime is 21330033337. The reversal of 21330033312 is 21333003312.

It is an interprime number because it is at equal distance from previous prime (21330033287) and next prime (21330033337).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477264 + ... + 1491632.

It is an arithmetic number, because the mean of its divisors is an integer number (454063260).

Almost surely, 221330033312 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 21330033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32692554720).

21330033312 is an abundant number, since it is smaller than the sum of its proper divisors (44055076128).

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

21330033312 is a wasteful number, since it uses less digits than its factorization.

21330033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21330033312 its reverse (21333003312), we get a palindrome (42663036624).

The spelling of 21330033312 in words is "twenty-one billion, three hundred thirty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2209 2256 2632 3948 4418 4512 5264 6627 7896 8836 10528 13254 14369 15463 15792 17672 26508 28738 30926 31584 35344 43107 46389 53016 57476 61852 70688 86214 92778 100583 106032 114952 123704 172428 185556 201166 212064 229904 247408 301749 344856 371112 402332 459808 494816 603498 675343 689712 742224 804664 1206996 1350686 1379424 1484448 1609328 2026029 2413992 2701372 3218656 4052058 4727401 4827984 5402744 8104116 9454802 9655968 10805488 14182203 16208232 18909604 21610976 28364406 31741121 32416464 37819208 56728812 63482242 64832928 75638416 95223363 113457624 126964484 151276832 190446726 222187847 226915248 253928968 380893452 444375694 453830496 507857936 666563541 761786904 888751388 1015715872 1333127082 1523573808 1777502776 2666254164 3047147616 3555005552 5332508328 7110011104 10665016656 21330033312