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312118601 is a prime number
BaseRepresentation
bin10010100110101…
…000110101001001
3210202022021020012
4102212220311021
51114400243401
650545441305
710506651524
oct2246506511
9722267205
10312118601
11150201363
1288640235
134c881a82
142d649bbb
151c6048bb
hex129a8d49

312118601 has 2 divisors, whose sum is σ = 312118602. Its totient is φ = 312118600.

The previous prime is 312118591. The next prime is 312118607. The reversal of 312118601 is 106811213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274896400 + 37222201 = 16580^2 + 6101^2 .

It is a cyclic number.

It is not a de Polignac number, because 312118601 - 222 = 307924297 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312118607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156059300 + 156059301.

It is an arithmetic number, because the mean of its divisors is an integer number (156059301).

Almost surely, 2312118601 is an apocalyptic number.

It is an amenable number.

312118601 is a deficient number, since it is larger than the sum of its proper divisors (1).

312118601 is an equidigital number, since it uses as much as digits as its factorization.

312118601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 312118601 is about 17666.8786433824. The cubic root of 312118601 is about 678.3282181148.

Adding to 312118601 its reverse (106811213), we get a palindrome (418929814).

The spelling of 312118601 in words is "three hundred twelve million, one hundred eighteen thousand, six hundred one".