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312653093 = 10925711161
BaseRepresentation
bin10010101000101…
…011010100100101
3210210022102102012
4102220223110211
51120014344333
651005124005
710514336024
oct2250532445
9723272365
10312653093
11150536995
1288859605
134ca0b13c
142d7488bb
151c6ace48
hex12a2b525

312653093 has 8 divisors (see below), whose sum is σ = 316777560. Its totient is φ = 308551680.

The previous prime is 312653083. The next prime is 312653141. The reversal of 312653093 is 390356213.

It can be written as a sum of positive squares in 4 ways, for example, as 73239364 + 239413729 = 8558^2 + 15473^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312653093 - 210 = 312652069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312653083) 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 in 7 ways as a sum of consecutive naturals, for example, 22433 + ... + 33593.

It is an arithmetic number, because the mean of its divisors is an integer number (39597195).

Almost surely, 2312653093 is an apocalyptic number.

It is an amenable number.

312653093 is a deficient number, since it is larger than the sum of its proper divisors (4124467).

312653093 is a wasteful number, since it uses less digits than its factorization.

312653093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527.

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 312653093 is about 17681.9991234023. Note that the first 3 decimals coincide. The cubic root of 312653093 is about 678.7152016139.

The spelling of 312653093 in words is "three hundred twelve million, six hundred fifty-three thousand, ninety-three".

Divisors: 1 109 257 11161 28013 1216549 2868377 312653093