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1312311042 = 232723740213
BaseRepresentation
bin100111000111000…
…0100011100000010
310101110100022022200
41032032010130002
510141422423132
6334115214030
744343313500
oct11616043402
93343308280
101312311042
11613846789
123075a7316
1317bb58713
14c6407670
157a322d7c
hex4e384702

1312311042 has 72 divisors (see below), whose sum is σ = 3397037436. Its totient is φ = 364803264.

The previous prime is 1312311029. The next prime is 1312311043. The reversal of 1312311042 is 2401132131.

1312311042 is a `hidden beast` number, since 1 + 312 + 311 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1261031121 + 51279921 = 35511^2 + 7161^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1312311043) 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, 12528 + ... + 52740.

Almost surely, 21312311042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312311042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698518718).

1312311042 is an abundant number, since it is smaller than the sum of its proper divisors (2084726394).

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

1312311042 is a wasteful number, since it uses less digits than its factorization.

1312311042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40272 (or 40262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1312311042 is about 36225.8339034452. The cubic root of 1312311042 is about 1094.8272398993.

Adding to 1312311042 its reverse (2401132131), we get a palindrome (3713443173).

The spelling of 1312311042 in words is "one billion, three hundred twelve million, three hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4662 5439 10878 16317 32634 40213 80426 120639 241278 281491 361917 562982 723834 844473 1487881 1688946 1970437 2533419 2975762 3940874 4463643 5066838 5911311 8927286 10415167 11822622 13390929 17733933 20830334 26781858 31245501 35467866 62491002 72906169 93736503 145812338 187473006 218718507 437437014 656155521 1312311042