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21221121024 = 210327331543
BaseRepresentation
bin10011110000111000…
…001001110000000000
32000202221021122101100
4103300320021300000
5321430101333044
613425430134400
71350610360335
oct236070116000
960687248340
1021221121024
118aaa851354
124142ab1400
13200268585c
14105455298c
15843079869
hex4f0e09c00

21221121024 has 132 divisors (see below), whose sum is σ = 62116886416. Its totient is φ = 6976585728.

The previous prime is 21221121013. The next prime is 21221121041. The reversal of 21221121024 is 42012112212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21221120988 and 21221121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656997 + ... + 688539.

Almost surely, 221221121024 is an apocalyptic number.

21221121024 is a gapful number since it is divisible by the number (24) 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 21221121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31058443208).

21221121024 is an abundant number, since it is smaller than the sum of its proper divisors (40895765392).

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

21221121024 is a wasteful number, since it uses less digits than its factorization.

21221121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31642 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221121024 its reverse (42012112212), we get a palindrome (63233233236).

The spelling of 21221121024 in words is "twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2304 2336 2628 3072 3504 4608 4672 5256 7008 9216 9344 10512 14016 18688 21024 28032 31543 37376 42048 56064 63086 74752 84096 94629 112128 126172 168192 189258 224256 252344 283887 336384 378516 504688 567774 672768 757032 1009376 1135548 1514064 2018752 2271096 2302639 3028128 4037504 4542192 4605278 6056256 6907917 8075008 9084384 9210556 12112512 13815834 16150016 18168768 18421112 20723751 24225024 27631668 32300032 36337536 36842224 41447502 48450048 55263336 72675072 73684448 82895004 96900096 110526672 145350144 147368896 165790008 221053344 290700288 294737792 331580016 442106688 589475584 663160032 884213376 1178951168 1326320064 1768426752 2357902336 2652640128 3536853504 5305280256 7073707008 10610560512 21221121024