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413130211224 = 23317213758801
BaseRepresentation
bin1100000001100000111…
…10101011111110011000
31110111100202101012200020
412000300132223332120
523232042313224344
6513442302110440
741563515566133
oct6006036537630
91414322335606
10413130211224
1114a231263435
126809857b420
132cc5b9a09b3
1415dd1d4521a
15ab2e4bb719
hex60307abf98

413130211224 has 16 divisors (see below), whose sum is σ = 1032825528120. Its totient is φ = 137710070400.

The previous prime is 413130211211. The next prime is 413130211259. The reversal of 413130211224 is 422112031314.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 17213758801 = 413130211224 / (4 + 1 + 3 + 1 + 3 + 0 + 2 + 1 + 1 + 2 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 413130211194 and 413130211203.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8606879377 + ... + 8606879424.

Almost surely, 2413130211224 is an apocalyptic number.

It is an amenable number.

413130211224 is an abundant number, since it is smaller than the sum of its proper divisors (619695316896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413130211224 is a wasteful number, since it uses less digits than its factorization.

413130211224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213758810 (or 17213758806 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413130211224 its reverse (422112031314), we get a palindrome (835242242538).

The spelling of 413130211224 in words is "four hundred thirteen billion, one hundred thirty million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 17213758801 34427517602 51641276403 68855035204 103282552806 137710070408 206565105612 413130211224