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21301221012 = 22323377612741
BaseRepresentation
bin10011110101101001…
…101101011010010100
32000222112000010220120
4103311221231122110
5322111103033022
613441411031540
71352602251111
oct236551553224
960875003816
1021301221012
119040a90695
12416589b5b0
13201614c5b6
141061043908
1584a0ecd5c
hex4f5a6d694

21301221012 has 96 divisors (see below), whose sum is σ = 53355020544. Its totient is φ = 6597043200.

The previous prime is 21301221001. The next prime is 21301221023. The reversal of 21301221012 is 21012210312.

It is an interprime number because it is at equal distance from previous prime (21301221001) and next prime (21301221023).

It is a junction number, because it is equal to n+sod(n) for n = 21301220982 and 21301221000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7769962 + ... + 7772702.

It is an arithmetic number, because the mean of its divisors is an integer number (555781464).

Almost surely, 221301221012 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 21301221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677510272).

21301221012 is an abundant number, since it is smaller than the sum of its proper divisors (32053799532).

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

21301221012 is a wasteful number, since it uses less digits than its factorization.

21301221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21301221012 its reverse (21012210312), we get a palindrome (42313431324).

The spelling of 21301221012 in words is "twenty-one billion, three hundred one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 761 851 1522 1702 2283 2553 2741 3044 3404 4566 5106 5482 8223 9132 10212 10964 16446 17503 28157 32892 35006 52509 56314 63043 70012 84471 101417 105018 112628 126086 168942 189129 202834 210036 252172 304251 337884 378258 405668 608502 647611 756516 1217004 1295222 1942833 2085901 2332591 2590444 3885666 4171802 4665182 6257703 6997773 7771332 8343604 9330364 12515406 13995546 25030812 27991092 47975723 77178337 95951446 143927169 154356674 191902892 231535011 287854338 308713348 463070022 575708676 926140044 1775101751 3550203502 5325305253 7100407004 10650610506 21301221012