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431320001 = 7287710037
BaseRepresentation
bin11001101101010…
…110101111000001
31010001121022210212
4121231112233001
51340404220001
6110444403505
713455105500
oct3155265701
91101538725
10431320001
11201518112
12100546595
136b489348
14413d8837
1527ced7bb
hex19b56bc1

431320001 has 12 divisors (see below), whose sum is σ = 502361748. Its totient is φ = 369244512.

The previous prime is 431319997. The next prime is 431320037. The reversal of 431320001 is 100023134.

It can be written as a sum of positive squares in 2 ways, for example, as 260338225 + 170981776 = 16135^2 + 13076^2 .

It is not a de Polignac number, because 431320001 - 22 = 431319997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431320051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37955 + ... + 47991.

It is an arithmetic number, because the mean of its divisors is an integer number (41863479).

Almost surely, 2431320001 is an apocalyptic number.

It is an amenable number.

431320001 is a deficient number, since it is larger than the sum of its proper divisors (71041747).

431320001 is a wasteful number, since it uses less digits than its factorization.

431320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 431320001 is about 20768.2450149260. The cubic root of 431320001 is about 755.5557804121. Note that the first 3 decimals are identical.

Adding to 431320001 its reverse (100023134), we get a palindrome (531343135).

The spelling of 431320001 in words is "four hundred thirty-one million, three hundred twenty thousand, one".

Divisors: 1 7 49 877 6139 10037 42973 70259 491813 8802449 61617143 431320001