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314331133 = 2341333331
BaseRepresentation
bin10010101111000…
…100111111111101
3210220110200020211
4102233010333331
51120432044013
651105112421
710534525204
oct2257047775
9726420224
10314331133
111514826a6
1289328711
1350177b6c
142da6423b
151c8e023d
hex12bc4ffd

314331133 has 8 divisors (see below), whose sum is σ = 335998656. Its totient is φ = 293330400.

The previous prime is 314331107. The next prime is 314331137. The reversal of 314331133 is 331133413.

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

It is not a de Polignac number, because 314331133 - 213 = 314322941 is a prime.

It is a super-3 number, since 3×3143311333 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314331137) 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, 165723 + ... + 167608.

It is an arithmetic number, because the mean of its divisors is an integer number (41999832).

Almost surely, 2314331133 is an apocalyptic number.

It is an amenable number.

314331133 is a deficient number, since it is larger than the sum of its proper divisors (21667523).

314331133 is a wasteful number, since it uses less digits than its factorization.

314331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333395.

The product of its digits is 972, while the sum is 22.

The square root of 314331133 is about 17729.3861427857. The cubic root of 314331133 is about 679.9272795648.

Adding to 314331133 its reverse (331133413), we get a palindrome (645464546).

The spelling of 314331133 in words is "three hundred fourteen million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 23 41 943 333331 7666613 13666571 314331133