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1312144112 = 242328112689
BaseRepresentation
bin100111000110101…
…1011101011110000
310101110000211100002
41032031123223300
510141402102422
6334111445132
744342020016
oct11615335360
93343024302
101312144112
11613742324
123075267a8
1317baca746
14c63a28b6
157a2dd692
hex4e35baf0

1312144112 has 40 divisors (see below), whose sum is σ = 2662463520. Its totient is φ = 625264640.

The previous prime is 1312144087. The next prime is 1312144117. The reversal of 1312144112 is 2114412131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312144117) 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 7 ways as a sum of consecutive naturals, for example, 97064 + ... + 109752.

It is an arithmetic number, because the mean of its divisors is an integer number (66561588).

Almost surely, 21312144112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331231760).

1312144112 is an abundant number, since it is smaller than the sum of its proper divisors (1350319408).

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

1312144112 is a wasteful number, since it uses less digits than its factorization.

1312144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13001 (or 12995 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 1312144112 is about 36223.5298114361. The cubic root of 1312144112 is about 1094.7808161337.

Adding to 1312144112 its reverse (2114412131), we get a palindrome (3426556243).

The spelling of 1312144112 in words is "one billion, three hundred twelve million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 281 368 562 1124 2248 4496 6463 12689 12926 25378 25852 50756 51704 101512 103408 203024 291847 583694 1167388 2334776 3565609 4669552 7131218 14262436 28524872 57049744 82009007 164018014 328036028 656072056 1312144112