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130503334767 = 31317853723057
BaseRepresentation
bin111100110001010011…
…0101101101101101111
3110110212000001022010020
41321202212231231233
54114232323203032
6135541415213223
712266665020441
oct1714246555557
9413760038106
10130503334767
1150389803a83
1221361377213
13c3ca256760
14646028c491
1535dc139b2c
hex1e629adb6f

130503334767 has 32 divisors (see below), whose sum is σ = 198444157632. Its totient is φ = 75573510144.

The previous prime is 130503334747. The next prime is 130503334777. The reversal of 130503334767 is 767433305031.

It is not a de Polignac number, because 130503334767 - 216 = 130503269231 is a prime.

It is a super-2 number, since 2×1305033347672 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130503334747) 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 31 ways as a sum of consecutive naturals, for example, 5648503 + ... + 5671559.

It is an arithmetic number, because the mean of its divisors is an integer number (6201379926).

Almost surely, 2130503334767 is an apocalyptic number.

130503334767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

130503334767 is a deficient number, since it is larger than the sum of its proper divisors (67940822865).

130503334767 is a wasteful number, since it uses less digits than its factorization.

130503334767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31627.

The product of its (nonzero) digits is 476280, while the sum is 42.

Adding to 130503334767 its reverse (767433305031), we get a palindrome (897936639798).

The spelling of 130503334767 in words is "one hundred thirty billion, five hundred three million, three hundred thirty-four thousand, seven hundred sixty-seven".

Divisors: 1 3 13 17 39 51 221 663 8537 23057 25611 69171 110981 145129 299741 332943 391969 435387 899223 1175907 1886677 5095597 5660031 15286791 196837609 590512827 2558888917 3346239353 7676666751 10038718059 43501111589 130503334767