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300414213330 = 235711131998597
BaseRepresentation
bin1000101111100100001…
…01010001110011010010
31001201102101100020121120
410113302011101303102
514410222014311310
6350001451103110
730463354452360
oct4276205216322
91051371306546
10300414213330
1110644aa9a970
124a280141a96
13224378a875a
141077c166630
157c33c2db70
hex45f2151cd2

300414213330 has 128 divisors (see below), whose sum is σ = 899592376320. Its totient is φ = 62375773440.

The previous prime is 300414213289. The next prime is 300414213367. The reversal of 300414213330 is 33312414003.

It is a self number, because there is not a number n which added to its sum of digits gives 300414213330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2997592 + ... + 3096188.

It is an arithmetic number, because the mean of its divisors is an integer number (7028065440).

Almost surely, 2300414213330 is an apocalyptic number.

300414213330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300414213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449796188160).

300414213330 is an abundant number, since it is smaller than the sum of its proper divisors (599178162990).

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

300414213330 is a wasteful number, since it uses less digits than its factorization.

300414213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99944.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 300414213330 its reverse (33312414003), we get a palindrome (333726627333).

The spelling of 300414213330 in words is "three hundred billion, four hundred fourteen million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1319 2310 2638 3957 6595 7914 9233 13190 14509 18466 19785 27699 29018 39570 43527 46165 55398 72545 87054 92330 98597 101563 138495 145090 197194 203126 217635 276990 295791 304689 435270 492985 507815 591582 609378 690179 985970 1015630 1084567 1380358 1478955 1523445 2070537 2169134 2957910 3046890 3253701 3450895 4141074 5422835 6507402 6901790 7591969 10352685 10845670 15183938 16268505 20705370 22775907 32537010 37959845 45551814 75919690 113879535 130049443 227759070 260098886 390148329 650247215 780296658 910346101 1300494430 1430543873 1820692202 1950741645 2731038303 2861087746 3901483290 4291631619 4551730505 5462076606 7152719365 8583263238 9103461010 10013807111 13655191515 14305438730 20027614222 21458158095 27310383030 30041421333 42916316190 50069035555 60082842666 100138071110 150207106665 300414213330