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1300133304 = 2332312412417
BaseRepresentation
bin100110101111110…
…0111010110111000
310100121102121121100
41031133213112320
510130313231204
6333002211400
744134644051
oct11537472670
93317377540
101300133304
11607989438
123034b3b60
13179483862
14c4957728
1579219a39
hex4d7e75b8

1300133304 has 96 divisors (see below), whose sum is σ = 3651373440. Its totient is φ = 417484800.

The previous prime is 1300133299. The next prime is 1300133309. The reversal of 1300133304 is 4033310031.

It is an interprime number because it is at equal distance from previous prime (1300133299) and next prime (1300133309).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300133309) 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 23 ways as a sum of consecutive naturals, for example, 536704 + ... + 539120.

It is an arithmetic number, because the mean of its divisors is an integer number (38035140).

Almost surely, 21300133304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300133304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825686720).

1300133304 is an abundant number, since it is smaller than the sum of its proper divisors (2351240136).

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

1300133304 is a wasteful number, since it uses less digits than its factorization.

1300133304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1300133304 is about 36057.3613011268. The cubic root of 1300133304 is about 1091.4301861545.

Adding to 1300133304 its reverse (4033310031), we get a palindrome (5333443335).

The spelling of 1300133304 in words is "one billion, three hundred million, one hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 241 248 279 372 482 558 723 744 964 1116 1446 1928 2169 2232 2417 2892 4338 4834 5784 7251 7471 8676 9668 14502 14942 17352 19336 21753 22413 29004 29884 43506 44826 58008 59768 67239 74927 87012 89652 134478 149854 174024 179304 224781 268956 299708 449562 537912 582497 599416 674343 899124 1164994 1348686 1747491 1798248 2329988 2697372 3494982 4659976 5242473 5394744 6989964 10484946 13979928 18057407 20969892 36114814 41939784 54172221 72229628 108344442 144459256 162516663 216688884 325033326 433377768 650066652 1300133304