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12022131100 = 2252717174473
BaseRepresentation
bin10110011001001001…
…10010100110011100
31011000211202112111211
423030210302212130
5144110131143400
65304535554204
7603630266620
oct131444624634
934024675454
1012022131100
11510a1a8041
1223b622b964
131197912c55
1482093d180
154a5692dba
hex2cc93299c

12022131100 has 36 divisors (see below), whose sum is σ = 29814886864. Its totient is φ = 4121873280.

The previous prime is 12022131097. The next prime is 12022131109. The reversal of 12022131100 is 113122021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022131109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8586537 + ... + 8587936.

Almost surely, 212022131100 is an apocalyptic number.

12022131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022131100 is an abundant number, since it is smaller than the sum of its proper divisors (17792755764).

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

12022131100 is a wasteful number, since it uses less digits than its factorization.

12022131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174494 (or 17174487 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12022131100 its reverse (113122021), we get a palindrome (12135253121).

It can be divided in two parts, 120221 and 31100, that added together give a square (151321 = 3892).

The spelling of 12022131100 in words is "twelve billion, twenty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 17174473 34348946 68697892 85872365 120221311 171744730 240442622 343489460 429361825 480885244 601106555 858723650 1202213110 1717447300 2404426220 3005532775 6011065550 12022131100