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312956141 is a prime number
BaseRepresentation
bin10010101001110…
…101010011101101
3210210212211010012
4102221311103231
51120104044031
651015423005
710520040401
oct2251652355
9723784105
10312956141
11150723643
1288984a65
134cab6064
142d7c7101
151c71cb2b
hex12a754ed

312956141 has 2 divisors, whose sum is σ = 312956142. Its totient is φ = 312956140.

The previous prime is 312956123. The next prime is 312956167. The reversal of 312956141 is 141659213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239785225 + 73170916 = 15485^2 + 8554^2 .

It is a cyclic number.

It is not a de Polignac number, because 312956141 - 210 = 312955117 is a prime.

It is a super-2 number, since 2×3129561412 = 195883092379223762, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312956098 and 312956107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312056141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156478070 + 156478071.

It is an arithmetic number, because the mean of its divisors is an integer number (156478071).

Almost surely, 2312956141 is an apocalyptic number.

It is an amenable number.

312956141 is a deficient number, since it is larger than the sum of its proper divisors (1).

312956141 is an equidigital number, since it uses as much as digits as its factorization.

312956141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 32.

The square root of 312956141 is about 17690.5664409029. The cubic root of 312956141 is about 678.9344188763.

The spelling of 312956141 in words is "three hundred twelve million, nine hundred fifty-six thousand, one hundred forty-one".