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412241013 = 32371237961
BaseRepresentation
bin11000100100100…
…100110001110101
31001201201000100200
4120210210301311
51321013203023
6104523431113
713133663562
oct3044446165
91051630320
10412241013
111a1776858
12b6085499
13675391c2
143ca6d869
15262d0743
hex18924c75

412241013 has 12 divisors (see below), whose sum is σ = 611553228. Its totient is φ = 267399360.

The previous prime is 412240987. The next prime is 412241021. The reversal of 412241013 is 310142214.

412241013 is a `hidden beast` number, since 412 + 241 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169442289 + 242798724 = 13017^2 + 15582^2 .

It is not a de Polignac number, because 412241013 - 28 = 412240757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412241033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618648 + ... + 619313.

It is an arithmetic number, because the mean of its divisors is an integer number (50962769).

Almost surely, 2412241013 is an apocalyptic number.

It is an amenable number.

412241013 is a deficient number, since it is larger than the sum of its proper divisors (199312215).

412241013 is a wasteful number, since it uses less digits than its factorization.

412241013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238004 (or 1238001 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412241013 is about 20303.7191913206. The cubic root of 412241013 is about 744.2469534437.

Adding to 412241013 its reverse (310142214), we get a palindrome (722383227).

The spelling of 412241013 in words is "four hundred twelve million, two hundred forty-one thousand, thirteen".

Divisors: 1 3 9 37 111 333 1237961 3713883 11141649 45804557 137413671 412241013