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293112313 = 1353425417
BaseRepresentation
bin10001011110001…
…000100111111001
3202102112122111121
4101132020213321
51100014043223
645030225241
710156261564
oct2136104771
9672478447
10293112313
111404aa68a
12821b5221
1348958a50
142acdd4db
151aaed15d
hex117889f9

293112313 has 8 divisors (see below), whose sum is σ = 321616008. Its totient is φ = 265459584.

The previous prime is 293112307. The next prime is 293112319. The reversal of 293112313 is 313211392.

It is an interprime number because it is at equal distance from previous prime (293112307) and next prime (293112319).

It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 286184889 = 2632^2 + 16917^2 .

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

It is not a de Polignac number, because 293112313 - 221 = 291015161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293112319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212020 + ... + 213397.

It is an arithmetic number, because the mean of its divisors is an integer number (40202001).

Almost surely, 2293112313 is an apocalyptic number.

It is an amenable number.

293112313 is a deficient number, since it is larger than the sum of its proper divisors (28503695).

293112313 is a wasteful number, since it uses less digits than its factorization.

293112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425483.

The product of its digits is 972, while the sum is 25.

The square root of 293112313 is about 17120.5231520535. The cubic root of 293112313 is about 664.2700740340.

The spelling of 293112313 in words is "two hundred ninety-three million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 13 53 689 425417 5530421 22547101 293112313