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300213003312 = 243229277259531
BaseRepresentation
bin1000101111001100001…
…01101110010000110000
31001200220100201201100200
410113212011232100300
514404314012101222
6345525502315200
730455362265265
oct4274605562060
91050810651320
10300213003312
111063574608a2
124a224888b00
1322404cb9781
141075d54b26c
157c21235eac
hex45e616e430

300213003312 has 120 divisors (see below), whose sum is σ = 872292242640. Its totient is φ = 96271096320.

The previous prime is 300213003301. The next prime is 300213003313. The reversal of 300213003312 is 213300312003.

300213003312 is a `hidden beast` number, since 30 + 0 + 2 + 1 + 300 + 331 + 2 = 666.

It is a super-2 number, since 2×3002130033122 (a number of 24 digits) contains 22 as substring.

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 (300213003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026987 + ... + 1286517.

It is an arithmetic number, because the mean of its divisors is an integer number (7269102022).

Almost surely, 2300213003312 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 300213003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436146121320).

300213003312 is an abundant number, since it is smaller than the sum of its proper divisors (572079239328).

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

300213003312 is a wasteful number, since it uses less digits than its factorization.

300213003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259851 (or 259842 counting only the distinct ones).

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

Adding to 300213003312 its reverse (213300312003), we get a palindrome (513513315315).

The spelling of 300213003312 in words is "three hundred billion, two hundred thirteen million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 277 348 464 522 554 696 831 1044 1108 1392 1662 2088 2216 2493 3324 4176 4432 4986 6648 8033 9972 13296 16066 19944 24099 32132 39888 48198 64264 72297 96396 128528 144594 192792 259531 289188 385584 519062 578376 778593 1038124 1156752 1557186 2076248 2335779 3114372 4152496 4671558 6228744 7526399 9343116 12457488 15052798 18686232 22579197 30105596 37372464 45158394 60211192 67737591 71890087 90316788 120422384 135475182 143780174 180633576 215670261 270950364 287560348 361267152 431340522 541900728 575120696 647010783 862681044 1083801456 1150241392 1294021566 1725362088 2084812523 2588043132 3450724176 4169625046 5176086264 6254437569 8339250092 10352172528 12508875138 16678500184 18763312707 25017750276 33357000368 37526625414 50035500552 75053250828 100071001104 150106501656 300213003312