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1304351534313 = 32898677187669
BaseRepresentation
bin10010111110110001011…
…010001110110011101001
311121200202111112022002200
4102332301122032303221
5132332302443044223
62435113312050413
7163144022052342
oct22766132166351
94550674468080
101304351534313
11463199489343
12190960833a09
1395ccc7bb509
14471b94890c9
1523de0e88a43
hex12fb168ece9

1304351534313 has 24 divisors (see below), whose sum is σ = 1905462304200. Its totient is φ = 859693595904.

The previous prime is 1304351534309. The next prime is 1304351534363. The reversal of 1304351534313 is 3134351534031.

It is a happy number.

1304351534313 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 51 + 534 + 31 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30606802704 + 1273744731609 = 174948^2 + 1128603^2 .

It is not a de Polignac number, because 1304351534313 - 22 = 1304351534309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1304351534363) 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 23 ways as a sum of consecutive naturals, for example, 6856443 + ... + 7044111.

It is an arithmetic number, because the mean of its divisors is an integer number (79394262675).

Almost surely, 21304351534313 is an apocalyptic number.

It is an amenable number.

1304351534313 is a deficient number, since it is larger than the sum of its proper divisors (601110769887).

1304351534313 is a wasteful number, since it uses less digits than its factorization.

1304351534313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196441 (or 196438 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 1304351534313 in words is "one trillion, three hundred four billion, three hundred fifty-one million, five hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 9 89 267 801 8677 26031 78093 187669 563007 772253 1689021 2316759 6950277 16702541 50107623 150322869 1628403913 4885211739 14655635217 144927948257 434783844771 1304351534313