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1312311141 = 32172895669
BaseRepresentation
bin100111000111000…
…0100011101100101
310101110100022110100
41032032010131211
510141422424031
6334115214313
744343314001
oct11616043545
93343308410
101312311141
11613846869
123075a7399
1317bb5878b
14c6407701
157a322de6
hex4e384765

1312311141 has 36 divisors (see below), whose sum is σ = 2036607300. Its totient is φ = 814015488.

The previous prime is 1312311139. The next prime is 1312311151. The reversal of 1312311141 is 1411132131.

It is a happy number.

1312311141 is a `hidden beast` number, since 1 + 312 + 311 + 1 + 41 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 1312250625 = 246^2 + 36225^2 .

It is not a de Polignac number, because 1312311141 - 21 = 1312311139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312311101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228655 + ... + 234323.

It is an arithmetic number, because the mean of its divisors is an integer number (56572425).

Almost surely, 21312311141 is an apocalyptic number.

It is an amenable number.

1312311141 is a deficient number, since it is larger than the sum of its proper divisors (724296159).

1312311141 is a wasteful number, since it uses less digits than its factorization.

1312311141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5778 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1312311141 is about 36225.8352698734. The cubic root of 1312311141 is about 1094.8272674304.

Adding to 1312311141 its reverse (1411132131), we get a palindrome (2723443272).

The spelling of 1312311141 in words is "one billion, three hundred twelve million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 89 153 267 289 801 867 1513 2601 4539 5669 13617 17007 25721 51021 77163 96373 231489 289119 504541 867357 1513623 1638341 4540869 4915023 8577197 14745069 25731591 77194773 145812349 437437047 1312311141