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405372031 is a prime number
BaseRepresentation
bin11000001010010…
…111110001111111
31001020210000212221
4120022113301333
51312233401111
6104120310211
713021414441
oct3012276177
91036700787
10405372031
11198905009
12b3912367
1365ca280c
143bba2491
15258c5371
hex18297c7f

405372031 has 2 divisors, whose sum is σ = 405372032. Its totient is φ = 405372030.

The previous prime is 405372013. The next prime is 405372047. The reversal of 405372031 is 130273504.

Together with previous prime (405372013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 405372031 - 25 = 405371999 is a prime.

It is a super-2 number, since 2×4053720312 = 328652967034129922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405371987 and 405372005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405372061) 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 as a sum of consecutive naturals, namely, 202686015 + 202686016.

It is an arithmetic number, because the mean of its divisors is an integer number (202686016).

Almost surely, 2405372031 is an apocalyptic number.

405372031 is a deficient number, since it is larger than the sum of its proper divisors (1).

405372031 is an equidigital number, since it uses as much as digits as its factorization.

405372031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 405372031 is about 20133.8528602948. The cubic root of 405372031 is about 740.0900979901.

The spelling of 405372031 in words is "four hundred five million, three hundred seventy-two thousand, thirty-one".