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1313134404032 = 261115531201061
BaseRepresentation
bin10011000110111100111…
…010001110000111000000
311122112102121001022100202
4103012330322032013000
5133003244401412112
62443125015304332
7163604460161453
oct23067472160700
94575377038322
101313134404032
11466996157360
121925b207b0a8
1396a9c297349
14477adadd49a
15242570756c2
hex131bce8e1c0

1313134404032 has 56 divisors (see below), whose sum is σ = 2844470330352. Its totient is φ = 596494438400.

The previous prime is 1313134404019. The next prime is 1313134404037. The reversal of 1313134404032 is 2304044313131.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1313134403986 and 1313134404004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313134404037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 492782 + ... + 1693842.

It is an arithmetic number, because the mean of its divisors is an integer number (50794113042).

Almost surely, 21313134404032 is an apocalyptic number.

It is an amenable number.

1313134404032 is an abundant number, since it is smaller than the sum of its proper divisors (1531335926320).

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

1313134404032 is a wasteful number, since it uses less digits than its factorization.

1313134404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202637 (or 1202627 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1313134404032 its reverse (2304044313131), we get a palindrome (3617178717163).

Subtracting 1313134404032 from its reverse (2304044313131), we obtain a palindrome (990909909099).

The spelling of 1313134404032 in words is "one trillion, three hundred thirteen billion, one hundred thirty-four million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1553 3106 6212 12424 17083 24848 34166 49696 68332 99392 136664 273328 546656 1093312 1201061 2402122 4804244 9608488 13211671 19216976 26423342 38433952 52846684 76867904 105693368 211386736 422773472 845546944 1865247733 3730495466 7460990932 14921981864 20517725063 29843963728 41035450126 59687927456 82070900252 119375854912 164141800504 328283601008 656567202016 1313134404032