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313313133103 = 2591424128513
BaseRepresentation
bin1001000111100101110…
…10110000001000101111
31002221201022221021001221
410203302322300020233
520113131130224403
6355533431444211
731431122455435
oct4436272601057
91087638837057
10313313133103
1111096a106243
125087bb26667
1323712049069
14112432dcd55
15823b365dbd
hex48f2eb022f

313313133103 has 8 divisors (see below), whose sum is σ = 313518957696. Its totient is φ = 313107379200.

The previous prime is 313313133101. The next prime is 313313133127. The reversal of 313313133103 is 301331313313.

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 313313133103 - 21 = 313313133101 is a prime.

It is a super-3 number, since 3×3133131331033 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10974175 + ... + 11002687.

It is an arithmetic number, because the mean of its divisors is an integer number (39189869712).

Almost surely, 2313313133103 is an apocalyptic number.

313313133103 is a deficient number, since it is larger than the sum of its proper divisors (205824593).

313313133103 is a wasteful number, since it uses less digits than its factorization.

313313133103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35345.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 313313133103 its reverse (301331313313), we get a palindrome (614644446416).

It can be divided in two parts, 31331313310 and 3, that added together give a palindrome (31331313313).

The spelling of 313313133103 in words is "three hundred thirteen billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 2591 4241 28513 10988431 73877183 120923633 313313133103