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4112002313 = 171132578329
BaseRepresentation
bin1111010100011000…
…0010110100001001
3101121120110100201222
43311012002310021
531410133033223
61520010251425
7203620304636
oct36506026411
911546410658
104112002313
111820133221
12969126b75
13506ba8283
142b018b18d
15190eeb0c8
hexf5182d09

4112002313 has 16 divisors (see below), whose sum is σ = 4410035280. Its totient is φ = 3820486656.

The previous prime is 4112002303. The next prime is 4112002337. The reversal of 4112002313 is 3132002114.

It can be written as a sum of positive squares in 8 ways, for example, as 15618304 + 4096384009 = 3952^2 + 64003^2 .

It is a cyclic number.

It is not a de Polignac number, because 4112002313 - 222 = 4107808009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 4112002291 and 4112002300.

It is not an unprimeable number, because it can be changed into a prime (4112002303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489533 + ... + 497861.

It is an arithmetic number, because the mean of its divisors is an integer number (275627205).

Almost surely, 24112002313 is an apocalyptic number.

It is an amenable number.

4112002313 is a deficient number, since it is larger than the sum of its proper divisors (298032967).

4112002313 is a wasteful number, since it uses less digits than its factorization.

4112002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4112002313 is about 64124.8962026450. The cubic root of 4112002313 is about 1602.0809269214.

Adding to 4112002313 its reverse (3132002114), we get a palindrome (7244004427).

It can be divided in two parts, 411200 and 2313, that multiplied together give a square (951105600 = 308402).

The spelling of 4112002313 in words is "four billion, one hundred twelve million, two thousand, three hundred thirteen".

Divisors: 1 17 113 257 1921 4369 8329 29041 141593 493697 941177 2140553 16000009 36389401 241882489 4112002313