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312112081 is a prime number
BaseRepresentation
bin10010100110100…
…111001111010001
3210202021221021201
4102212213033101
51114400041311
650545351201
710506623521
oct2246471721
9722257251
10312112081
111501a7476
1288638501
134c87bb08
142d647681
151c6029c1
hex129a73d1

312112081 has 2 divisors, whose sum is σ = 312112082. Its totient is φ = 312112080.

The previous prime is 312112079. The next prime is 312112109. The reversal of 312112081 is 180211213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172659600 + 139452481 = 13140^2 + 11809^2 .

It is a cyclic number.

It is not a de Polignac number, because 312112081 - 21 = 312112079 is a prime.

It is a super-2 number, since 2×3121120812 = 194827902212301122, which contains 22 as substring.

Together with 312112079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312112481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056040 + 156056041.

It is an arithmetic number, because the mean of its divisors is an integer number (156056041).

Almost surely, 2312112081 is an apocalyptic number.

It is an amenable number.

312112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112081 is an equidigital number, since it uses as much as digits as its factorization.

312112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 312112081 is about 17666.6941163309. The cubic root of 312112081 is about 678.3234947706.

Adding to 312112081 its reverse (180211213), we get a palindrome (492323294).

It can be divided in two parts, 31 and 2112081, that added together give a palindrome (2112112).

The spelling of 312112081 in words is "three hundred twelve million, one hundred twelve thousand, eighty-one".