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312100097 is a prime number
BaseRepresentation
bin10010100110100…
…100010100000001
3210202021022211212
4102212210110001
51114344200342
650545215505
710506543551
oct2246442401
9722238755
10312100097
11150199471
1288631595
134c87651a
142d643161
151c5ee182
hex129a4501

312100097 has 2 divisors, whose sum is σ = 312100098. Its totient is φ = 312100096.

The previous prime is 312100073. The next prime is 312100109. The reversal of 312100097 is 790001213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242861056 + 69239041 = 15584^2 + 8321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312100097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312100067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050048 + 156050049.

It is an arithmetic number, because the mean of its divisors is an integer number (156050049).

Almost surely, 2312100097 is an apocalyptic number.

It is an amenable number.

312100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

312100097 is an equidigital number, since it uses as much as digits as its factorization.

312100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 312100097 is about 17666.3549437908. The cubic root of 312100097 is about 678.3148129184.

The spelling of 312100097 in words is "three hundred twelve million, one hundred thousand, ninety-seven".