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1311147006 = 231322774051
BaseRepresentation
bin100111000100110…
…1000001111111110
310101101011011120020
41032021220033332
510141123201011
6334034233010
744330365011
oct11611501776
93341134506
101311147006
11613121174
12307125766
1317b83b940
14c61c3378
157a193006
hex4e2683fe

1311147006 has 32 divisors (see below), whose sum is σ = 2836487808. Its totient is φ = 401647200.

The previous prime is 1311147001. The next prime is 1311147007. The reversal of 1311147006 is 6007411131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311147001) 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 15 ways as a sum of consecutive naturals, for example, 19320 + ... + 54731.

It is an arithmetic number, because the mean of its divisors is an integer number (88640244).

Almost surely, 21311147006 is an apocalyptic number.

1311147006 is an abundant number, since it is smaller than the sum of its proper divisors (1525340802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311147006 is a wasteful number, since it uses less digits than its factorization.

1311147006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74296.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1311147006 is about 36209.7639594626. The cubic root of 1311147006 is about 1094.5034357416.

Adding to 1311147006 its reverse (6007411131), we get a palindrome (7318558137).

The spelling of 1311147006 in words is "one billion, three hundred eleven million, one hundred forty-seven thousand, six".

Divisors: 1 2 3 6 13 26 39 78 227 454 681 1362 2951 5902 8853 17706 74051 148102 222153 444306 962663 1925326 2887989 5775978 16809577 33619154 50428731 100857462 218524501 437049002 655573503 1311147006