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12032232100 = 22527131131213
BaseRepresentation
bin10110011010010110…
…10100101010100100
31011001112202201110221
423031023110222210
5144120222411400
65305540254124
7604112166610
oct131513245244
934045681427
1012032232100
115114977079
1223b96a1344
131199a3b785
1482200c340
154a64dac1a
hex2cd2d4aa4

12032232100 has 72 divisors (see below), whose sum is σ = 30067950528. Its totient is φ = 4093814400.

The previous prime is 12032232077. The next prime is 12032232109. The reversal of 12032232100 is 123223021.

It is not an unprimeable number, because it can be changed into a prime (12032232109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26094 + ... + 157306.

It is an arithmetic number, because the mean of its divisors is an integer number (417610424).

Almost surely, 212032232100 is an apocalyptic number.

12032232100 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 12032232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033975264).

12032232100 is an abundant number, since it is smaller than the sum of its proper divisors (18035718428).

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

12032232100 is a wasteful number, since it uses less digits than its factorization.

12032232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131365 (or 131358 counting only the distinct ones).

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

Adding to 12032232100 its reverse (123223021), we get a palindrome (12155455121).

The spelling of 12032232100 in words is "twelve billion, thirty-two million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 524 655 700 917 1310 1834 2620 3275 3668 4585 6550 9170 13100 18340 22925 45850 91700 131213 262426 524852 656065 918491 1312130 1836982 2624260 3280325 3673964 4592455 6560650 9184910 13121300 17188903 18369820 22962275 34377806 45924550 68755612 85944515 91849100 120322321 171889030 240644642 343778060 429722575 481289284 601611605 859445150 1203223210 1718890300 2406446420 3008058025 6016116050 12032232100