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300300213130002 = 2364671652926683
BaseRepresentation
bin100010001000111110001011…
…1100001111001001100010010
31110101021102100011220202000000
41010101330113201321030102
5303330104314030130002
62542404002521310430
7120152655141123621
oct10421742741711422
91411242304822000
10300300213130002
1187759672557518
1229820239935416
13cb7425b437147
145422871db76b8
1524ab76eabc61c
hex1111f17879312

300300213130002 has 112 divisors (see below), whose sum is σ = 676879023169440. Its totient is φ = 99875937741696.

The previous prime is 300300213129991. The next prime is 300300213130009. The reversal of 300300213130002 is 200031312003003.

300300213130002 is a `hidden beast` number, since 30 + 0 + 300 + 2 + 1 + 31 + 300 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (300300213130009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11254351353 + ... + 11254378035.

It is an arithmetic number, because the mean of its divisors is an integer number (6043562706870).

Almost surely, 2300300213130002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300300213130002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338439511584720).

300300213130002 is an abundant number, since it is smaller than the sum of its proper divisors (376578810039438).

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

300300213130002 is a wasteful number, since it uses less digits than its factorization.

300300213130002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43699 (or 43684 counting only the distinct ones).

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

Adding to 300300213130002 its reverse (200031312003003), we get a palindrome (500331525133005).

The spelling of 300300213130002 in words is "three hundred trillion, three hundred billion, two hundred thirteen million, one hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 467 486 729 934 1401 1458 2802 4203 8406 12609 16529 25218 26683 33058 37827 49587 53366 75654 80049 99174 113481 148761 160098 226962 240147 297522 340443 446283 480294 680886 720441 892566 1338849 1440882 2161323 2677698 4016547 4322646 6483969 7719043 8033094 12049641 12460961 12967938 15438086 19451907 23157129 24099282 24921922 37382883 38903814 46314258 69471387 74765766 112148649 138942774 208414161 224297298 336445947 416828322 441043307 625242483 672891894 882086614 1009337841 1250484966 1323129921 1875727449 2018675682 2646259842 3028013523 3751454898 3969389763 5627182347 6056027046 7938779526 9084040569 11254364694 11908169289 18168081138 23816338578 35724507867 71449015734 107173523601 205967224369 214347047202 321520570803 411934448738 617901673107 643041141606 1235803346214 1853705019321 3707410038642 5561115057963 11122230115926 16683345173889 33366690347778 50050035521667 100100071043334 150150106565001 300300213130002