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412461131 = 10319920123
BaseRepresentation
bin11000100101011…
…010100001001011
31001202010012022012
4120211122201023
51321042224011
6104532250135
713135601405
oct3045324113
91052105265
10412461131
111a1907175
12b617094b
13675b5454
143cac9b75
1526325a8b
hex1895a84b

412461131 has 8 divisors (see below), whose sum is σ = 418579200. Its totient is φ = 406383912.

The previous prime is 412461103. The next prime is 412461149. The reversal of 412461131 is 131164214.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412461131 is a prime.

It is a super-2 number, since 2×4124611312 = 340248369171598322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412461097 and 412461106.

It is not an unprimeable number, because it can be changed into a prime (412461151) 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 7 ways as a sum of consecutive naturals, for example, 10436 + ... + 30558.

It is an arithmetic number, because the mean of its divisors is an integer number (52322400).

Almost surely, 2412461131 is an apocalyptic number.

412461131 is a deficient number, since it is larger than the sum of its proper divisors (6118069).

412461131 is a wasteful number, since it uses less digits than its factorization.

412461131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425.

The product of its digits is 576, while the sum is 23.

The square root of 412461131 is about 20309.1391004149. The cubic root of 412461131 is about 744.3793945776.

The spelling of 412461131 in words is "four hundred twelve million, four hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 103 199 20123 20497 2072669 4004477 412461131