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1317447131 = 7111383101157
BaseRepresentation
bin100111010000110…
…1010010111011011
310101211000020201012
41032201222113123
510144231302011
6334421244135
744435054510
oct11641522733
93354006635
101317447131
11616734590
1230926364b
1317cc36420
14c6d83307
157a9d9a8b
hex4e86a5db

1317447131 has 64 divisors (see below), whose sum is σ = 1819431936. Its totient is φ = 921024000.

The previous prime is 1317447127. The next prime is 1317447161.

1317447131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1317447131 - 22 = 1317447127 is a prime.

It is a super-2 number, since 2×13174471312 = 3471333885960262322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1317447101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8391305 + ... + 8391461.

It is an arithmetic number, because the mean of its divisors is an integer number (28428624).

Almost surely, 21317447131 is an apocalyptic number.

1317447131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1317447131 is a deficient number, since it is larger than the sum of its proper divisors (501984805).

1317447131 is a wasteful number, since it uses less digits than its factorization.

1317447131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 7056, while the sum is 32.

The square root of 1317447131 is about 36296.6545428088. The cubic root of 1317447131 is about 1096.2536827639.

The spelling of 1317447131 in words is "one billion, three hundred seventeen million, four hundred forty-seven thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 83 91 101 143 157 581 707 913 1001 1079 1099 1111 1313 1727 2041 6391 7553 7777 8383 9191 11869 12089 13031 14287 14443 15857 22451 58681 83083 91217 92213 101101 108979 110999 143341 157157 169403 174427 206141 645491 762853 1003387 1185821 1198769 1220989 1316131 1442987 1863433 2267551 8391383 9212917 13044031 14477441 15872857 17109703 101342087 119767921 188206733 1317447131