Search a number
-
+
12330101132032 = 28411174742867
BaseRepresentation
bin1011001101101101001101…
…0011000100101100000000
31121122202010221121001222111
42303123103103010230000
53104004021342211112
642120211550545104
72411551254232315
oct263332323045400
947582127531874
1012330101132032
113a2419170a122
1214717a5b08194
136b5953832408
14308acc772d0c
15165b030335a7
hexb36d34c4b00

12330101132032 has 36 divisors (see below), whose sum is σ = 25212331433016. Its totient is φ = 6014683473920.

The previous prime is 12330101132029. The next prime is 12330101132051. The reversal of 12330101132032 is 23023110103321.

It is a super-2 number, since 2×123301011320322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12330101131994 and 12330101132012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 587360938 + ... + 587381929.

It is an arithmetic number, because the mean of its divisors is an integer number (700342539806).

Almost surely, 212330101132032 is an apocalyptic number.

It is an amenable number.

12330101132032 is an abundant number, since it is smaller than the sum of its proper divisors (12882230300984).

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

12330101132032 is an equidigital number, since it uses as much as digits as its factorization.

12330101132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174742924 (or 1174742910 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12330101132032 its reverse (23023110103321), we get a palindrome (35353211235353).

The spelling of 12330101132032 in words is "twelve trillion, three hundred thirty billion, one hundred one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 1174742867 2349485734 4698971468 9397942936 18795885872 37591771744 48164457547 75183543488 96328915094 150367086976 192657830188 300734173952 385315660376 770631320752 1541262641504 3082525283008 6165050566016 12330101132032