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312480971 = 111011372053
BaseRepresentation
bin10010101000000…
…001010011001011
3210202222200022022
4102220001103023
51114443342341
651001315055
710513021145
oct2250012313
9722880268
10312480971
11150429640
1288795a8b
134c97a9aa
142d701c95
151c676e4b
hex12a014cb

312480971 has 16 divisors (see below), whose sum is σ = 346945248. Its totient is φ = 279072000.

The previous prime is 312480937. The next prime is 312480983. The reversal of 312480971 is 179084213.

It is a cyclic number.

It is not a de Polignac number, because 312480971 - 26 = 312480907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312480901) 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 in 15 ways as a sum of consecutive naturals, for example, 151181 + ... + 153233.

It is an arithmetic number, because the mean of its divisors is an integer number (21684078).

Almost surely, 2312480971 is an apocalyptic number.

312480971 is a deficient number, since it is larger than the sum of its proper divisors (34464277).

312480971 is a wasteful number, since it uses less digits than its factorization.

312480971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 312480971 is about 17677.1313000724. The cubic root of 312480971 is about 678.5906298284.

The spelling of 312480971 in words is "three hundred twelve million, four hundred eighty thousand, nine hundred seventy-one".

Divisors: 1 11 101 137 1111 1507 2053 13837 22583 152207 207353 281261 2280883 3093871 28407361 312480971