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1300341133 = 713192231721
BaseRepresentation
bin100110110000001…
…1010000110001101
310100121211011200201
41031200122012031
510130341404013
6333010453501
744136501010
oct11540320615
93317734621
101300341133
116080105a3
12303594291
13179527330
14c49ad377
157925b3dd
hex4d81a18d

1300341133 has 48 divisors (see below), whose sum is σ = 1763548416. Its totient is φ = 931772160.

The previous prime is 1300341131. The next prime is 1300341137. The reversal of 1300341133 is 3311430031.

It is not a de Polignac number, because 1300341133 - 21 = 1300341131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1300341133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300341131) 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 47 ways as a sum of consecutive naturals, for example, 754713 + ... + 756433.

It is an arithmetic number, because the mean of its divisors is an integer number (36740592).

Almost surely, 21300341133 is an apocalyptic number.

1300341133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300341133 is a deficient number, since it is larger than the sum of its proper divisors (463207283).

1300341133 is a wasteful number, since it uses less digits than its factorization.

1300341133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1300341133 is about 36060.2431078882. The cubic root of 1300341133 is about 1091.4883388476.

Adding to 1300341133 its reverse (3311430031), we get a palindrome (4611771164).

The spelling of 1300341133 in words is "one billion, three hundred million, three hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 7 13 19 23 91 133 161 247 299 361 437 1721 1729 2093 2527 3059 4693 5681 8303 12047 22373 32699 32851 39583 39767 58121 107939 156611 228893 277081 425087 514579 621281 752077 755573 2975609 3602053 4348967 5264539 8076653 9777001 14289463 56536571 68439007 100026241 185763019 1300341133