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1317667131 = 321121209979
BaseRepresentation
bin100111010001010…
…0000000100111011
310101211102102111100
41032202200010323
510144310322011
6334430102443
744436662064
oct11642400473
93354372440
101317667131
11616874900
1230934aa23
1317ccb25c1
14c6ddd56b
157aa2ed56
hex4e8a013b

1317667131 has 18 divisors (see below), whose sum is σ = 2092055420. Its totient is φ = 798585480.

The previous prime is 1317667097. The next prime is 1317667147.

It is a happy number.

1317667131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1317667131 - 27 = 1317667003 is a prime.

It is a super-2 number, since 2×13176671312 = 3472493336235542322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1317667181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 603901 + ... + 606078.

Almost surely, 21317667131 is an apocalyptic number.

1317667131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1317667131 is a deficient number, since it is larger than the sum of its proper divisors (774388289).

1317667131 is a wasteful number, since it uses less digits than its factorization.

1317667131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210007 (or 1209993 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1317667131 is about 36299.6849986333. The cubic root of 1317667131 is about 1096.3147003640.

The spelling of 1317667131 in words is "one billion, three hundred seventeen million, six hundred sixty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1209979 3629937 10889811 13309769 39929307 119787921 146407459 439222377 1317667131