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431112731 = 728798219
BaseRepresentation
bin11001101100100…
…100001000011011
31010001012210111012
4121230210020123
51340331101411
6110440124135
713453253300
oct3154441033
91101183435
10431112731
11201396415
1210046664b
136b415bba
14413830a7
1527cac18b
hex19b2421b

431112731 has 6 divisors (see below), whose sum is σ = 501498540. Its totient is φ = 369525156.

The previous prime is 431112719. The next prime is 431112769. The reversal of 431112731 is 137211134.

It is a happy number.

It is not a de Polignac number, because 431112731 - 226 = 364003867 is a prime.

It is a super-2 number, since 2×4311127312 = 371716373660556722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431112697 and 431112706.

It is not an unprimeable number, because it can be changed into a prime (431112131) 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 5 ways as a sum of consecutive naturals, for example, 4399061 + ... + 4399158.

It is an arithmetic number, because the mean of its divisors is an integer number (83583090).

Almost surely, 2431112731 is an apocalyptic number.

431112731 is a deficient number, since it is larger than the sum of its proper divisors (70385809).

431112731 is an equidigital number, since it uses as much as digits as its factorization.

431112731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798233 (or 8798226 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 431112731 is about 20763.2543451165. The cubic root of 431112731 is about 755.4347340597.

Adding to 431112731 its reverse (137211134), we get a palindrome (568323865).

The spelling of 431112731 in words is "four hundred thirty-one million, one hundred twelve thousand, seven hundred thirty-one".

Divisors: 1 7 49 8798219 61587533 431112731