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431242013 = 1137734937
BaseRepresentation
bin11001101101000…
…011101100011101
31010001110100211102
4121231003230131
51340344221023
6110443002445
713454332226
oct3155035435
91101410742
10431242013
11201474564
12100509425
136b45c9b7
14413b824d
1527cd5628
hex19b43b1d

431242013 has 8 divisors (see below), whose sum is σ = 435709368. Its totient is φ = 426786304.

The previous prime is 431242003. The next prime is 431242039. The reversal of 431242013 is 310242134.

It can be written as a sum of positive squares in 4 ways, for example, as 22676644 + 408565369 = 4762^2 + 20213^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431242013 - 24 = 431241997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431242003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84881 + ... + 89817.

It is an arithmetic number, because the mean of its divisors is an integer number (54463671).

Almost surely, 2431242013 is an apocalyptic number.

It is an amenable number.

431242013 is a deficient number, since it is larger than the sum of its proper divisors (4467355).

431242013 is a wasteful number, since it uses less digits than its factorization.

431242013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 431242013 is about 20766.3673520431. The cubic root of 431242013 is about 755.5102397186.

Adding to 431242013 its reverse (310242134), we get a palindrome (741484147).

The spelling of 431242013 in words is "four hundred thirty-one million, two hundred forty-two thousand, thirteen".

Divisors: 1 113 773 4937 87349 557881 3816301 431242013