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113232222321132 = 22371972693508771
BaseRepresentation
bin11001101111101111101110…
…011000110111100111101100
3112211220220011021002020220210
4121233233232120313213230
5104320144042403234012
61040454055333342420
732564521012113105
oct3157575630674754
9484826137066823
10113232222321132
11330965745a6932
12108491b6197a10
134b249a2a30a25
141dd667c5713ac
15d1566b18023c
hex66fbee6379ec

113232222321132 has 96 divisors (see below), whose sum is σ = 270792977140224. Its totient is φ = 36815085619200.

The previous prime is 113232222321103. The next prime is 113232222321263. The reversal of 113232222321132 is 231123222232311.

It is a happy number.

It is a super-2 number, since 2×1132322223211322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113232222321132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222305907 + ... + 222814677.

It is an arithmetic number, because the mean of its divisors is an integer number (2820760178544).

Almost surely, 2113232222321132 is an apocalyptic number.

113232222321132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113232222321132 is an abundant number, since it is smaller than the sum of its proper divisors (157560754819092).

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

113232222321132 is a wasteful number, since it uses less digits than its factorization.

113232222321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511639 (or 511637 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 113232222321132 its reverse (231123222232311), we get a palindrome (344355444553443).

The spelling of 113232222321132 in words is "one hundred thirteen trillion, two hundred thirty-two billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 97 142 194 213 284 291 388 426 582 852 1164 2693 5386 6887 8079 10772 13774 16158 20661 27548 32316 41322 82644 191203 261221 382406 508771 522442 573609 764812 783663 1017542 1044884 1147218 1526313 1567326 2035084 2294436 3052626 3134652 6105252 18546691 36122741 37093382 49350787 55640073 72245482 74186764 98701574 108368223 111280146 144490964 148052361 197403148 216736446 222560292 296104722 433472892 592209444 1370120303 2740240606 3503905877 4110360909 5480481212 7007811754 8220721818 10511717631 14015623508 16441443636 21023435262 42046870524 97278541513 132901669391 194557083026 265803338782 291835624539 389114166052 398705008173 531606677564 583671249078 797410016346 1167342498156 1594820032692 9436018526761 18872037053522 28308055580283 37744074107044 56616111160566 113232222321132