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1301427333 = 321731726833
BaseRepresentation
bin100110110010010…
…0011010010000101
310100200212100200100
41031210203102011
510131131133313
6333050034313
744151643533
oct11544432205
93320770610
101301427333
11608692688
12303a18999
1317981785b
14c4bb3153
15793c3173
hex4d923485

1301427333 has 24 divisors (see below), whose sum is σ = 1996771608. Its totient is φ = 813975552.

The previous prime is 1301427313. The next prime is 1301427389. The reversal of 1301427333 is 3337241031.

1301427333 is a `hidden beast` number, since 1 + 301 + 4 + 27 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 887364 + 1300539969 = 942^2 + 36063^2 .

It is not a de Polignac number, because 1301427333 - 218 = 1301165189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1301427297 and 1301427306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301427313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35085 + ... + 61917.

It is an arithmetic number, because the mean of its divisors is an integer number (83198817).

Almost surely, 21301427333 is an apocalyptic number.

It is an amenable number.

1301427333 is a deficient number, since it is larger than the sum of its proper divisors (695344275).

1301427333 is a wasteful number, since it uses less digits than its factorization.

1301427333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27173 (or 27170 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 1301427333 is about 36075.3008719262. The cubic root of 1301427333 is about 1091.7921680109.

Adding to 1301427333 its reverse (3337241031), we get a palindrome (4638668364).

The spelling of 1301427333 in words is "one billion, three hundred one million, four hundred twenty-seven thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 317 951 2853 5389 16167 26833 48501 80499 241497 456161 1368483 4105449 8506061 25518183 76554549 144603037 433809111 1301427333