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505202244131 = 13291340059003
BaseRepresentation
bin1110101101000000110…
…01100111101000100011
31210022000102011002121002
413112200121213220203
531234123233303011
61024030421222215
751333245136014
oct7264031475043
91708012132532
10505202244131
11185289550512
1281ab326196b
1338842b6b240
141a6480cd00b
15d21c6d8c3b
hex75a0667a23

505202244131 has 8 divisors (see below), whose sum is σ = 562824781680. Its totient is φ = 450259824672.

The previous prime is 505202244121. The next prime is 505202244163. The reversal of 505202244131 is 131442202505.

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

It is a cyclic number.

It is not a de Polignac number, because 505202244131 - 230 = 504128502307 is a prime.

It is a super-2 number, since 2×5052022441312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505202244094 and 505202244103.

It is not an unprimeable number, because it can be changed into a prime (505202244121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 670029125 + ... + 670029878.

It is an arithmetic number, because the mean of its divisors is an integer number (70353097710).

Almost surely, 2505202244131 is an apocalyptic number.

505202244131 is a deficient number, since it is larger than the sum of its proper divisors (57622537549).

505202244131 is a wasteful number, since it uses less digits than its factorization.

505202244131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340059045.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 505202244131 its reverse (131442202505), we get a palindrome (636644446636).

The spelling of 505202244131 in words is "five hundred five billion, two hundred two million, two hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 13 29 377 1340059003 17420767039 38861711087 505202244131