Search a number
-
+
12031533105 = 3523106132869
BaseRepresentation
bin10110011010010001…
…01010000000110001
31011001111110012122020
423031020222000301
5144120033024410
65305513302053
7604103225664
oct131510520061
934044405566
1012031533105
115114539999
1223b9404929
131199855577
14821ca96db
154a63eda70
hex2cd22a031

12031533105 has 32 divisors (see below), whose sum is σ = 20106973440. Its totient is φ = 6131854080.

The previous prime is 12031533089. The next prime is 12031533109. The reversal of 12031533105 is 50133513021.

It is not a de Polignac number, because 12031533105 - 24 = 12031533089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12031533109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349611 + ... + 382479.

It is an arithmetic number, because the mean of its divisors is an integer number (628342920).

Almost surely, 212031533105 is an apocalyptic number.

12031533105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12031533105 is a deficient number, since it is larger than the sum of its proper divisors (8075440335).

12031533105 is a wasteful number, since it uses less digits than its factorization.

12031533105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33961.

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 12031533105 in words is "twelve billion, thirty-one million, five hundred thirty-three thousand, one hundred five".

Divisors: 1 3 5 15 23 69 115 345 1061 3183 5305 15915 24403 32869 73209 98607 122015 164345 366045 493035 755987 2267961 3779935 11339805 34874009 104622027 174370045 523110135 802102207 2406306621 4010511035 12031533105