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312140041 is a prime number
BaseRepresentation
bin10010100110101…
…110000100001001
3210202100100122021
4102212232010021
51114401440131
650550124441
710510101163
oct2246560411
9722310567
10312140041
11150216484
1288650721
134c88b765
142d653933
151c60ae11
hex129ae109

312140041 has 2 divisors, whose sum is σ = 312140042. Its totient is φ = 312140040.

The previous prime is 312140039. The next prime is 312140047. The reversal of 312140041 is 140041213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186049600 + 126090441 = 13640^2 + 11229^2 .

It is a cyclic number.

It is not a de Polignac number, because 312140041 - 21 = 312140039 is a prime.

Together with 312140039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 312139997 and 312140024.

It is not a weakly prime, because it can be changed into another prime (312140047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070020 + 156070021.

It is an arithmetic number, because the mean of its divisors is an integer number (156070021).

Almost surely, 2312140041 is an apocalyptic number.

It is an amenable number.

312140041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312140041 is an equidigital number, since it uses as much as digits as its factorization.

312140041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312140041 is about 17667.4854181346. The cubic root of 312140041 is about 678.3437496296.

Adding to 312140041 its reverse (140041213), we get a palindrome (452181254).

The spelling of 312140041 in words is "three hundred twelve million, one hundred forty thousand, forty-one".