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413120133 = 32378314947
BaseRepresentation
bin11000100111111…
…011011010000101
31001210100200021200
4120213323122011
51321224321013
6104554333113
713144314606
oct3047733205
91053320250
10413120133
111a22172a8
12b642a199
13677863aa
143cc1bdad
1526405e73
hex189fb685

413120133 has 24 divisors (see below), whose sum is σ = 620282208. Its totient is φ = 264723552.

The previous prime is 413120131. The next prime is 413120153. The reversal of 413120133 is 331021314.

413120133 is a `hidden beast` number, since 413 + 120 + 133 = 666.

It is not a de Polignac number, because 413120133 - 21 = 413120131 is a prime.

It is a super-3 number, since 3×4131201333 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413120131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20166 + ... + 35112.

It is an arithmetic number, because the mean of its divisors is an integer number (25845092).

Almost surely, 2413120133 is an apocalyptic number.

It is an amenable number.

413120133 is a deficient number, since it is larger than the sum of its proper divisors (207162075).

413120133 is a wasteful number, since it uses less digits than its factorization.

413120133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15073 (or 15070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 413120133 is about 20325.3568972355. The cubic root of 413120133 is about 744.7756230141.

Adding to 413120133 its reverse (331021314), we get a palindrome (744141447).

The spelling of 413120133 in words is "four hundred thirteen million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 37 83 111 249 333 747 3071 9213 14947 27639 44841 134523 553039 1240601 1659117 3721803 4977351 11165409 45902237 137706711 413120133