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33230132223112 = 23114115435968973
BaseRepresentation
bin1111000111000111111100…
…01110100001110010001000
311100122202210001100020211001
413203203332032201302020
513323420302322114422
6154401413442544344
76666540440306266
oct743437616416210
9140582701306731
1033230132223112
11a651902372160
1238882800680b4
131570784b69a26
1482c4c018b436
153c95d2ed8227
hex1e38fe3a1c88

33230132223112 has 64 divisors (see below), whose sum is σ = 69673684671360. Its totient is φ = 14726647718400.

The previous prime is 33230132223097. The next prime is 33230132223131. The reversal of 33230132223112 is 21132223103233.

It is a happy number.

It is a super-2 number, since 2×332301322231122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2582658 + ... + 8551630.

It is an arithmetic number, because the mean of its divisors is an integer number (1088651322990).

Almost surely, 233230132223112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230132223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836842335680).

33230132223112 is an abundant number, since it is smaller than the sum of its proper divisors (36443552448248).

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

33230132223112 is a wasteful number, since it uses less digits than its factorization.

33230132223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970574 (or 5970570 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 33230132223112 its reverse (21132223103233), we get a palindrome (54362355326345).

The spelling of 33230132223112 in words is "thirty-three trillion, two hundred thirty billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1543 1804 3086 3608 6172 12344 16973 33946 63263 67892 126526 135784 253052 506104 695893 1391786 2783572 5567144 5968973 11937946 23875892 47751784 65658703 131317406 244727893 262634812 489455786 525269624 978911572 1957823144 2692006823 5384013646 9210125339 10768027292 18420250678 21536054584 36840501356 73681002712 101311378729 202622757458 377615138899 405245514916 755230277798 810491029832 1510460555596 3020921111192 4153766527889 8307533055778 16615066111556 33230132223112