Search a number
-
+
12033003031 = 719293119783
BaseRepresentation
bin10110011010011100…
…10000111000010111
31011001121012212222221
423031032100320113
5144120422044111
65310005003211
7604121560330
oct131516207027
934047185887
1012033003031
115115353305
1223b99b3507
131199c4b64a
1482216d287
154a65de371
hex2cd390e17

12033003031 has 16 divisors (see below), whose sum is σ = 14974963200. Its totient is φ = 9434220768.

The previous prime is 12033003023. The next prime is 12033003041. The reversal of 12033003031 is 13030033021.

12033003031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12033003031 - 23 = 12033003023 is a prime.

It is a super-2 number, since 2×120330030312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12033002996 and 12033003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033003041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556035 + ... + 1563748.

It is an arithmetic number, because the mean of its divisors is an integer number (935935200).

Almost surely, 212033003031 is an apocalyptic number.

12033003031 is a deficient number, since it is larger than the sum of its proper divisors (2941960169).

12033003031 is a wasteful number, since it uses less digits than its factorization.

12033003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119838.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 12033003031 its reverse (13030033021), we get a palindrome (25063036052).

The spelling of 12033003031 in words is "twelve billion, thirty-three million, three thousand, thirty-one".

Divisors: 1 7 19 29 133 203 551 3857 3119783 21838481 59275877 90473707 414931139 633315949 1719000433 12033003031