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312920081 is a prime number
BaseRepresentation
bin10010101001101…
…100100000010001
3210210210222122122
4102221230200101
51120101420311
651014544025
710516530305
oct2251544021
9723728578
10312920081
111506a9541
1288968015
134caa2816
142d7b7d05
151c7120db
hex12a6c811

312920081 has 2 divisors, whose sum is σ = 312920082. Its totient is φ = 312920080.

The previous prime is 312920039. The next prime is 312920123. The reversal of 312920081 is 180029213.

It is a balanced prime because it is at equal distance from previous prime (312920039) and next prime (312920123).

It can be written as a sum of positive squares in only one way, i.e., 171191056 + 141729025 = 13084^2 + 11905^2 .

It is a cyclic number.

It is not a de Polignac number, because 312920081 - 26 = 312920017 is a prime.

It is a super-2 number, since 2×3129200812 = 195837954186093122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312920081.

It is not a weakly prime, because it can be changed into another prime (312920021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156460040 + 156460041.

It is an arithmetic number, because the mean of its divisors is an integer number (156460041).

Almost surely, 2312920081 is an apocalyptic number.

It is an amenable number.

312920081 is a deficient number, since it is larger than the sum of its proper divisors (1).

312920081 is an equidigital number, since it uses as much as digits as its factorization.

312920081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 312920081 is about 17689.5472242791. The cubic root of 312920081 is about 678.9083414037.

Adding to 312920081 its reverse (180029213), we get a palindrome (492949294).

The spelling of 312920081 in words is "three hundred twelve million, nine hundred twenty thousand, eighty-one".