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21023213312 = 28199499827
BaseRepresentation
bin10011100101000101…
…001100011100000000
32000021010212220001002
4103211011030130000
5321023420311222
613354040231132
71342655236043
oct234505143400
960233786032
1021023213312
118a09068362
1240a876b4a8
131ca06819ba
141036156c5a
158309d5392
hex4e514c700

21023213312 has 72 divisors (see below), whose sum is σ = 42310800000. Its totient is φ = 10425203712.

The previous prime is 21023213311. The next prime is 21023213357. The reversal of 21023213312 is 21331232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023213311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25420643 + ... + 25421469.

It is an arithmetic number, because the mean of its divisors is an integer number (587650000).

Almost surely, 221023213312 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 21023213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21155400000).

21023213312 is an abundant number, since it is smaller than the sum of its proper divisors (21287586688).

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

21023213312 is an equidigital number, since it uses as much as digits as its factorization.

21023213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21023213312 its reverse (21331232012), we get a palindrome (42354445324).

The spelling of 21023213312 in words is "twenty-one billion, twenty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 499 796 827 998 1592 1654 1996 3184 3308 3992 6368 6616 7984 12736 13232 15968 25472 26464 31936 50944 52928 63872 99301 105856 127744 164573 198602 211712 329146 397204 412673 658292 794408 825346 1316584 1588816 1650692 2633168 3177632 3301384 5266336 6355264 6602768 10532672 12710528 13205536 21065344 25421056 26411072 42130688 52822144 82121927 105644288 164243854 328487708 656975416 1313950832 2627901664 5255803328 10511606656 21023213312