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21120101220 = 22354115156857
BaseRepresentation
bin10011101010110110…
…110010101101100100
32000111220012022021010
4103222312302231210
5321223221214340
613411421022220
71345242620061
oct235266625544
960456168233
1021120101220
118a58823709
1241150b4970
131cb7775b1a
141044d77c68
15839272b80
hex4eadb2b64

21120101220 has 96 divisors (see below), whose sum is σ = 60980887296. Its totient is φ = 5458176000.

The previous prime is 21120101207. The next prime is 21120101221. The reversal of 21120101220 is 2210102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21120101196 and 21120101205.

It is not an unprimeable number, because it can be changed into a prime (21120101221) by changing a digit.

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, 343032 + ... + 399888.

It is an arithmetic number, because the mean of its divisors is an integer number (635217576).

Almost surely, 221120101220 is an apocalyptic number.

21120101220 is a gapful number since it is divisible by the number (20) 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 21120101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30490443648).

21120101220 is an abundant number, since it is smaller than the sum of its proper divisors (39860786076).

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

21120101220 is a wasteful number, since it uses less digits than its factorization.

21120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57061 (or 57059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21120101220 its reverse (2210102112), we get a palindrome (23330203332).

The spelling of 21120101220 in words is "twenty-one billion, one hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 151 164 205 246 302 410 453 492 604 615 755 820 906 1230 1510 1812 2265 2460 3020 4530 6191 9060 12382 18573 24764 30955 37146 56857 61910 74292 92865 113714 123820 170571 185730 227428 284285 341142 371460 568570 682284 852855 1137140 1705710 2331137 3411420 4662274 6993411 8585407 9324548 11655685 13986822 17170814 23311370 25756221 27973644 34341628 34967055 42927035 46622740 51512442 69934110 85854070 103024884 128781105 139868220 171708140 257562210 352001687 515124420 704003374 1056005061 1408006748 1760008435 2112010122 3520016870 4224020244 5280025305 7040033740 10560050610 21120101220