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12032330031100 = 2252832296330473
BaseRepresentation
bin1010111100010111111011…
…0000011101111111111100
31120121021112202201211221201
42233011332300131333330
53034114202441443400
641331324234505244
72351210232520651
oct257057660357774
946537482654851
1012032330031100
113919978690775
121423b42b95224
1369384a712cc2
142d8521671c28
1515cec639e06a
hexaf17ec1dffc

12032330031100 has 72 divisors (see below), whose sum is σ = 26540132416560. Its totient is φ = 4734180180480.

The previous prime is 12032330031097. The next prime is 12032330031101. The reversal of 12032330031100 is 113003323021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032330031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264537 + ... + 5065936.

It is an arithmetic number, because the mean of its divisors is an integer number (368612950230).

Almost surely, 212032330031100 is an apocalyptic number.

12032330031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032330031100 is an abundant number, since it is smaller than the sum of its proper divisors (14507802385460).

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

12032330031100 is a wasteful number, since it uses less digits than its factorization.

12032330031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330799 (or 6330792 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12032330031100 its reverse (113003323021), we get a palindrome (12145333354121).

The spelling of 12032330031100 in words is "twelve trillion, thirty-two billion, three hundred thirty million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 229 332 415 458 830 916 1145 1660 2075 2290 4150 4580 5725 8300 11450 19007 22900 38014 76028 95035 190070 380140 475175 950350 1900700 6330473 12660946 25321892 31652365 63304730 126609460 158261825 316523650 525429259 633047300 1050858518 1449678317 2101717036 2627146295 2899356634 5254292590 5798713268 7248391585 10508585180 13135731475 14496783170 26271462950 28993566340 36241957925 52542925900 72483915850 120323300311 144967831700 240646600622 481293201244 601616501555 1203233003110 2406466006220 3008082507775 6016165015550 12032330031100