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12022323100 = 22522319127367
BaseRepresentation
bin10110011001001011…
…00001011110011100
31011000212010021212221
423030211201132130
5144110203314400
65304544035124
7603632026444
oct131445413634
934025107787
1012022323100
11510a319317
1223b6302aa4
13119797c468
1482098d124
154a56cec1a
hex2cc96179c

12022323100 has 72 divisors (see below), whose sum is σ = 27366248448. Its totient is φ = 4575595200.

The previous prime is 12022323083. The next prime is 12022323101. The reversal of 12022323100 is 132322021.

12022323100 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-2 number, since 2×120223231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022323101) 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, 425617 + ... + 452983.

It is an arithmetic number, because the mean of its divisors is an integer number (380086784).

Almost surely, 212022323100 is an apocalyptic number.

12022323100 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 12022323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683124224).

12022323100 is an abundant number, since it is smaller than the sum of its proper divisors (15343925348).

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

12022323100 is a wasteful number, since it uses less digits than its factorization.

12022323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27595 (or 27588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12022323100 its reverse (132322021), we get a palindrome (12154645121).

The spelling of 12022323100 in words is "twelve billion, twenty-two million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 191 230 382 460 575 764 955 1150 1910 2300 3820 4393 4775 8786 9550 17572 19100 21965 27367 43930 54734 87860 109468 109825 136835 219650 273670 439300 547340 629441 684175 1258882 1368350 2517764 2736700 3147205 5227097 6294410 10454194 12588820 15736025 20908388 26135485 31472050 52270970 62944100 104541940 120223231 130677425 240446462 261354850 480892924 522709700 601116155 1202232310 2404464620 3005580775 6011161550 12022323100