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12221303100 = 2235282349499
BaseRepresentation
bin10110110000111001…
…00100100100111100
31011112201112112010120
423120130210210330
5200012123144400
65340412534540
7611566235166
oct133034444474
934481475116
1012221303100
1152016749a6
122450a81450
1311c9c6a3c6
1483d187936
154b7dd6ca0
hex2d872493c

12221303100 has 72 divisors (see below), whose sum is σ = 35403984000. Its totient is φ = 3254988480.

The previous prime is 12221303051. The next prime is 12221303117. The reversal of 12221303100 is 130312221.

It is a super-2 number, since 2×122213031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221303100.

It is a congruent number.

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, 222151 + ... + 271649.

It is an arithmetic number, because the mean of its divisors is an integer number (491722000).

Almost surely, 212221303100 is an apocalyptic number.

12221303100 is a gapful number since it is divisible by the number (10) 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 12221303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701992000).

12221303100 is an abundant number, since it is smaller than the sum of its proper divisors (23182680900).

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

12221303100 is a wasteful number, since it uses less digits than its factorization.

12221303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50339 (or 50332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12221303100 its reverse (130312221), we get a palindrome (12351615321).

The spelling of 12221303100 in words is "twelve billion, two hundred twenty-one million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 823 1646 2469 3292 4115 4938 8230 9876 12345 16460 20575 24690 41150 49380 49499 61725 82300 98998 123450 148497 197996 246900 247495 296994 494990 593988 742485 989980 1237475 1484970 2474950 2969940 3712425 4949900 7424850 14849700 40737677 81475354 122213031 162950708 203688385 244426062 407376770 488852124 611065155 814753540 1018441925 1222130310 2036883850 2444260620 3055325775 4073767700 6110651550 12221303100