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505152131 = 11229359401
BaseRepresentation
bin11110000111000…
…000001010000011
31022012112101110012
4132013000022003
52013304332011
6122043055135
715342502511
oct3607001203
91265471405
10505152131
1123a166300
121212114ab
138086a1b3
144b1374b1
152e534a8b
hex1e1c0283

505152131 has 24 divisors (see below), whose sum is σ = 577432800. Its totient is φ = 441056000.

The previous prime is 505152119. The next prime is 505152133. The reversal of 505152131 is 131251505.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-505152131 is a prime.

It is a super-2 number, since 2×5051521312 = 510357350907682322, 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 = 505152097 and 505152106.

It is not an unprimeable number, because it can be changed into a prime (505152133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259531 + ... + 1259931.

It is an arithmetic number, because the mean of its divisors is an integer number (24059700).

Almost surely, 2505152131 is an apocalyptic number.

505152131 is a deficient number, since it is larger than the sum of its proper divisors (72280669).

505152131 is a wasteful number, since it uses less digits than its factorization.

505152131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 505152131 is about 22475.5896696839. The cubic root of 505152131 is about 796.4173815687.

The spelling of 505152131 in words is "five hundred five million, one hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 11 29 121 319 359 401 3509 3949 4411 10411 11629 43439 48521 114521 127919 143959 1259731 1407109 1583549 4174811 17419039 45922921 505152131