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1312313342301 = 331319672936987
BaseRepresentation
bin10011000110001011111…
…110000111100101011101
311122110022101002001102000
4103012023332013211131
5133000104203423201
62442511325152513
7163545230234463
oct23061376074535
94573271061360
101312313342301
11466604740545
121924030bb739
139699b14b9c0
1447732a50833
1524209e3cd86
hex1318bf8795d

1312313342301 has 64 divisors (see below), whose sum is σ = 2236810060800. Its totient is φ = 753654103488.

The previous prime is 1312313342267. The next prime is 1312313342371. The reversal of 1312313342301 is 1032433132131.

1312313342301 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 13 + 342 + 301 = 666.

It is not a de Polignac number, because 1312313342301 - 210 = 1312313341277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312313342371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021671 + ... + 1915316.

It is an arithmetic number, because the mean of its divisors is an integer number (34950157200).

Almost surely, 21312313342301 is an apocalyptic number.

It is an amenable number.

1312313342301 is a deficient number, since it is larger than the sum of its proper divisors (924496718499).

1312313342301 is a wasteful number, since it uses less digits than its factorization.

1312313342301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937095 (or 2937089 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1312313342301 its reverse (1032433132131), we get a palindrome (2344746474432).

The spelling of 1312313342301 in words is "one trillion, three hundred twelve billion, three hundred thirteen million, three hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 13 19 27 39 57 67 117 171 201 247 351 513 603 741 871 1273 1809 2223 2613 3819 6669 7839 11457 16549 23517 34371 49647 148941 446823 2936987 8810961 26432883 38180831 55802753 79298649 114542493 167408259 196778129 343627479 502224777 590334387 725435789 1030882437 1506674331 1771003161 2176307367 2558115677 3738784451 5313009483 6528922101 7674347031 11216353353 19586766303 23023041093 33649060059 48604197863 69069123279 100947180177 145812593589 437437780767 1312313342301