Search a number
-
+
332313102031313 = 1325562546310101
BaseRepresentation
bin100101110001111001010110…
…0011001101001100111010001
31121120121211012110012101011102
41023203302230121221213101
5322024104213110000223
63134434310451354145
7126665554313060024
oct11343625431514721
91546554173171142
10332313102031313
1196981216791707
12313306095b2955
1311356cb6480c80
145c0c07b8dd1bb
15286435e17c928
hex12e3cac6699d1

332313102031313 has 4 divisors (see below), whose sum is σ = 357875648341428. Its totient is φ = 306750555721200.

The previous prime is 332313102031291. The next prime is 332313102031319. The reversal of 332313102031313 is 313130201313233.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 120522478062529 + 211790623968784 = 10978273^2 + 14553028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332313102031313 is a prime.

It is a super-3 number, since 3×3323131020313133 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332313102031319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12781273155038 + ... + 12781273155063.

It is an arithmetic number, because the mean of its divisors is an integer number (89468912085357).

Almost surely, 2332313102031313 is an apocalyptic number.

It is an amenable number.

332313102031313 is a deficient number, since it is larger than the sum of its proper divisors (25562546310115).

332313102031313 is a wasteful number, since it uses less digits than its factorization.

332313102031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25562546310114.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 332313102031313 its reverse (313130201313233), we get a palindrome (645443303344546).

The spelling of 332313102031313 in words is "three hundred thirty-two trillion, three hundred thirteen billion, one hundred two million, thirty-one thousand, three hundred thirteen".

Divisors: 1 13 25562546310101 332313102031313