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12434434233 = 31319113148501
BaseRepresentation
bin10111001010010011…
…00110100010111001
31012002120120201002020
423211021212202321
5200431203343413
65413505025053
7620064642564
oct134511464271
935076521066
1012434434233
115300a06531
1224b0325189
1312321714c0
1485d5c74db
154cb986c23
hex2e52668b9

12434434233 has 32 divisors (see below), whose sum is σ = 18960735360. Its totient is φ = 7185024000.

The previous prime is 12434434231. The next prime is 12434434249. The reversal of 12434434233 is 33243443421.

It is a happy number.

12434434233 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 12434434233 - 21 = 12434434231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12434434194 and 12434434203.

It is not an unprimeable number, because it can be changed into a prime (12434434231) 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 31 ways as a sum of consecutive naturals, for example, 9483 + ... + 157983.

It is an arithmetic number, because the mean of its divisors is an integer number (592522980).

Almost surely, 212434434233 is an apocalyptic number.

12434434233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12434434233 is a deficient number, since it is larger than the sum of its proper divisors (6526301127).

12434434233 is a wasteful number, since it uses less digits than its factorization.

12434434233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148649.

The product of its digits is 82944, while the sum is 33.

Adding to 12434434233 its reverse (33243443421), we get a palindrome (45677877654).

The spelling of 12434434233 in words is "twelve billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred thirty-three".

Divisors: 1 3 13 19 39 57 113 247 339 741 1469 2147 4407 6441 27911 83733 148501 445503 1930513 2821519 5791539 8464557 16780613 36679747 50341839 110039241 218147969 318831647 654443907 956494941 4144811411 12434434233