Search a number
-
+
505151200131 = 37910121103363
BaseRepresentation
bin1110101100111010101…
…10111001101110000011
31210021212212002210101120
413112131112321232003
531234022201401011
61024021355203323
751332055232464
oct7263526715603
91707785083346
10505151200131
11185262757396
1281a9a146543
13388354088a6
141a641402d6b
15d217ea4a06
hex759d5b9b83

505151200131 has 16 divisors (see below), whose sum is σ = 688813800960. Its totient is φ = 329212447200.

The previous prime is 505151200027. The next prime is 505151200133. The reversal of 505151200131 is 131002151505.

It is not a de Polignac number, because 505151200131 - 221 = 505149102979 is a prime.

It is a super-2 number, since 2×5051512001312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505151200133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10527745 + ... + 10575618.

It is an arithmetic number, because the mean of its divisors is an integer number (43050862560).

Almost surely, 2505151200131 is an apocalyptic number.

505151200131 is a deficient number, since it is larger than the sum of its proper divisors (183662600829).

505151200131 is a wasteful number, since it uses less digits than its factorization.

505151200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21103546.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 505151200131 its reverse (131002151505), we get a palindrome (636153351636).

The spelling of 505151200131 in words is "five hundred five billion, one hundred fifty-one million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 79 101 237 303 7979 23937 21103363 63310089 1667165677 2131439663 5001497031 6394318989 168383733377 505151200131