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1310342130342 = 2327131154351449
BaseRepresentation
bin10011000100010110011…
…110100010101010100110
311122021012222220002221200
4103010112132202222212
5132432040041132332
62441543551223330
7163445333223030
oct23042636425246
94567188802850
101310342130342
11465792a76853
12191b52b17b46
1396745943aab
14475c6d2ac50
1524141d6517c
hex131167a2aa6

1310342130342 has 96 divisors (see below), whose sum is σ = 3271607539200. Its totient is φ = 371277578880.

The previous prime is 1310342130329. The next prime is 1310342130371. The reversal of 1310342130342 is 2430312430131.

It is a happy number.

1310342130342 is a `hidden beast` number, since 1 + 3 + 10 + 342 + 1 + 303 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25443034 + ... + 25494482.

It is an arithmetic number, because the mean of its divisors is an integer number (34079245200).

Almost surely, 21310342130342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310342130342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635803769600).

1310342130342 is an abundant number, since it is smaller than the sum of its proper divisors (1961265408858).

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

1310342130342 is a wasteful number, since it uses less digits than its factorization.

1310342130342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53138 (or 53135 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1310342130342 its reverse (2430312430131), we get a palindrome (3740654560473).

The spelling of 1310342130342 in words is "one trillion, three hundred ten billion, three hundred forty-two million, one hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1543 1834 2358 2751 3086 4629 5502 8253 9258 10801 13887 16506 21602 27774 32403 51449 64806 97209 102898 154347 194418 202133 308694 360143 404266 463041 606399 720286 926082 1080429 1212798 1414931 1819197 2160858 2829862 3241287 3638394 4244793 6482574 6739819 8489586 12734379 13479638 20219457 25468758 40438914 47178733 60658371 79385807 94357466 121316742 141536199 158771614 238157421 283072398 424608597 476314842 555700649 714472263 849217194 1111401298 1428944526 1667101947 3334203894 5001305841 10002611682 10399540717 20799081434 31198622151 62397244302 72796785019 93595866453 145593570038 187191732906 218390355057 436780710114 655171065171 1310342130342