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300231321012 = 22337428992593
BaseRepresentation
bin1000101111001110010…
…11100110010110110100
31001200221122012100112000
410113213023212112310
514404333204233022
6345531355055300
730456004056540
oct4274713462664
91050848170460
10300231321012
11106366832197
124a22aa41530
1322408a3124c
1410761b58a20
157c22b536ac
hex45e72e65b4

300231321012 has 96 divisors (see below), whose sum is σ = 889791302400. Its totient is φ = 85759451136.

The previous prime is 300231321011. The next prime is 300231321029. The reversal of 300231321012 is 210123132003.

300231321012 is a `hidden beast` number, since 300 + 2 + 31 + 321 + 0 + 12 = 666.

It is a super-3 number, since 3×3002313210123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (300231321011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3196188 + ... + 3288780.

It is an arithmetic number, because the mean of its divisors is an integer number (9268659400).

Almost surely, 2300231321012 is an apocalyptic number.

It is an amenable number.

300231321012 is an abundant number, since it is smaller than the sum of its proper divisors (589559981388).

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

300231321012 is a wasteful number, since it uses less digits than its factorization.

300231321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96902 (or 96894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300231321012 its reverse (210123132003), we get a palindrome (510354453015).

The spelling of 300231321012 in words is "three hundred billion, two hundred thirty-one million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 4289 8578 12867 17156 25734 30023 38601 51468 60046 77202 90069 92593 115803 120092 154404 180138 185186 231606 270207 277779 360276 370372 463212 540414 555558 648151 810621 833337 1080828 1111116 1296302 1621242 1666674 1944453 2500011 2592604 3242484 3333348 3888906 5000022 5833359 7777812 10000044 11666718 17500077 23333436 35000154 70000308 397131377 794262754 1191394131 1588525508 2382788262 2779919639 3574182393 4765576524 5559839278 7148364786 8339758917 10722547179 11119678556 14296729572 16679517834 21445094358 25019276751 33359035668 42890188716 50038553502 75057830253 100077107004 150115660506 300231321012