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300102222210 = 235729233211493
BaseRepresentation
bin1000101110111110111…
…11001000000110000010
31001200121122021110020220
410113133133020012002
514404102132102320
6345510504043510
730452545541310
oct4273737100602
91050548243226
10300102222210
111062aa97636a
124a1b3763596
13223b806ca1b
141074c9510b0
157c16651e40
hex45df7c8182

300102222210 has 128 divisors (see below), whose sum is σ = 855180218880. Its totient is φ = 65944897536.

The previous prime is 300102222191. The next prime is 300102222269. The reversal of 300102222210 is 12222201003.

It is a happy number.

It is a super-2 number, since 2×3001022222102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300102222210.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1313224 + ... + 1524716.

It is an arithmetic number, because the mean of its divisors is an integer number (6681095460).

Almost surely, 2300102222210 is an apocalyptic number.

300102222210 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 300102222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427590109440).

300102222210 is an abundant number, since it is smaller than the sum of its proper divisors (555077996670).

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

300102222210 is a wasteful number, since it uses less digits than its factorization.

300102222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211772.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 300102222210 its reverse (12222201003), we get a palindrome (312324423213).

The spelling of 300102222210 in words is "three hundred billion, one hundred two million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 233 290 406 435 466 609 699 870 1015 1165 1218 1398 1631 2030 2330 3045 3262 3495 4893 6090 6757 6990 8155 9786 13514 16310 20271 24465 33785 40542 47299 48930 67570 94598 101355 141897 202710 211493 236495 283794 422986 472990 634479 709485 1057465 1268958 1418970 1480451 2114930 2960902 3172395 4441353 6133297 6344790 7402255 8882706 12266594 14804510 18399891 22206765 30666485 36799782 42933079 44413530 49277869 61332970 85866158 91999455 98555738 128799237 147833607 183998910 214665395 246389345 257598474 295667214 344945083 429330790 492778690 643996185 689890166 739168035 1034835249 1287992370 1429058201 1478336070 1724725415 2069670498 2858116402 3449450830 4287174603 5174176245 7145291005 8574349206 10003407407 10348352490 14290582010 20006814814 21435873015 30010222221 42871746030 50017037035 60020444442 100034074070 150051111105 300102222210