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12020223100 = 22521633492113
BaseRepresentation
bin10110011000111011…
…00000110001111100
31011000201011121020011
423030131200301330
5144104134114400
65304431033004
7603605132134
oct131435406174
934021147204
1012020223100
115109114586
1223b566b764
1311973c5662
148205a3ac4
154a54178ba
hex2cc760c7c

12020223100 has 72 divisors (see below), whose sum is σ = 26331561200. Its totient is φ = 4762644480.

The previous prime is 12020223073. The next prime is 12020223109. The reversal of 12020223100 is 132202021.

12020223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120202231003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020223109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5687644 + ... + 5689756.

Almost surely, 212020223100 is an apocalyptic number.

12020223100 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 12020223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165780600).

12020223100 is an abundant number, since it is smaller than the sum of its proper divisors (14311338100).

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

12020223100 is a wasteful number, since it uses less digits than its factorization.

12020223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12020223100 its reverse (132202021), we get a palindrome (12152425121).

The spelling of 12020223100 in words is "twelve billion, twenty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 349 652 698 815 1396 1630 1745 2113 3260 3490 4075 4226 6980 8150 8452 8725 10565 16300 17450 21130 34900 42260 52825 56887 105650 113774 211300 227548 284435 344419 568870 688838 737437 1137740 1377676 1422175 1474874 1722095 2844350 2949748 3444190 3687185 5688700 6888380 7374370 8610475 14748740 17220950 18435925 34441900 36871850 73743700 120202231 240404462 480808924 601011155 1202022310 2404044620 3005055775 6010111550 12020223100