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13001004233 = 72431615607
BaseRepresentation
bin11000001101110101…
…11001010011001001
31020120001200110000022
430012322321103021
5203111224113413
65550024350225
7640114466300
oct140672712311
936501613008
1013001004233
1155718009a8
12262a015375
1312c2663b19
148b494b437
1551159e608
hex306eb94c9

13001004233 has 12 divisors (see below), whose sum is σ = 15158731392. Its totient is φ = 11117844360.

The previous prime is 13001004227. The next prime is 13001004253. The reversal of 13001004233 is 33240010031.

It is a happy number.

13001004233 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 13001004233 - 26 = 13001004169 is a prime.

It is a super-2 number, since 2×130010042332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13001004253) 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 11 ways as a sum of consecutive naturals, for example, 286685 + ... + 328922.

It is an arithmetic number, because the mean of its divisors is an integer number (1263227616).

Almost surely, 213001004233 is an apocalyptic number.

It is an amenable number.

13001004233 is a deficient number, since it is larger than the sum of its proper divisors (2157727159).

13001004233 is an equidigital number, since it uses as much as digits as its factorization.

13001004233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616052 (or 616045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13001004233 its reverse (33240010031), we get a palindrome (46241014264).

The spelling of 13001004233 in words is "thirteen billion, one million, four thousand, two hundred thirty-three".

Divisors: 1 7 49 431 3017 21119 615607 4309249 30164743 265326617 1857286319 13001004233