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1311131001 = 31737289211
BaseRepresentation
bin100111000100110…
…0100010101111001
310101101010100121110
41032021210111321
510141122143001
6334034030533
744330300235
oct11611442571
93341110543
101311131001
11613110144
12307118449
1317b83457b
14c61bb5c5
157a18d3d6
hex4e264579

1311131001 has 48 divisors (see below), whose sum is σ = 1932880320. Its totient is φ = 787691520.

The previous prime is 1311130999. The next prime is 1311131033. The reversal of 1311131001 is 1001311131.

It is not a de Polignac number, because 1311131001 - 21 = 1311130999 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311131071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6213786 + ... + 6213996.

It is an arithmetic number, because the mean of its divisors is an integer number (40268340).

Almost surely, 21311131001 is an apocalyptic number.

It is an amenable number.

1311131001 is a deficient number, since it is larger than the sum of its proper divisors (621749319).

1311131001 is a wasteful number, since it uses less digits than its factorization.

1311131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1311131001 is about 36209.5429548621. The cubic root of 1311131001 is about 1094.4989822367.

Adding to 1311131001 its reverse (1001311131), we get a palindrome (2312442132).

The spelling of 1311131001 in words is "one billion, three hundred eleven million, one hundred thirty-one thousand, one".

Divisors: 1 3 17 37 51 89 111 211 267 629 633 1369 1513 1887 3293 3587 4107 4539 7807 9879 10761 18779 23273 23421 55981 56337 69819 121841 132719 167943 288859 319243 365523 398157 694823 866577 957729 2071297 2084469 4910603 6213891 11811991 14731809 25708451 35435973 77125353 437043667 1311131001