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3001214340300 = 2235211282678081
BaseRepresentation
bin101011101011000110010…
…100001000110011001100
3101121220122210021011011210
4223223012110020303030
5343132441332342200
610214423331014420
7426554613656601
oct53530624106314
911556583234153
103001214340300
11a57898287600
124057a473a410
1318a0232a5667
14a538c2ba6a8
1553106163650
hex2bac6508ccc

3001214340300 has 108 divisors (see below), whose sum is σ = 9544688498408. Its totient is φ = 727567104000.

The previous prime is 3001214340259. The next prime is 3001214340301. The reversal of 3001214340300 is 30434121003.

It is not an unprimeable number, because it can be changed into a prime (3001214340301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 41302741 + ... + 41375340.

Almost surely, 23001214340300 is an apocalyptic number.

3001214340300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001214340300 is an abundant number, since it is smaller than the sum of its proper divisors (6543474158108).

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

3001214340300 is a wasteful number, since it uses less digits than its factorization.

3001214340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82678120 (or 82678102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3001214340300 its reverse (30434121003), we get a palindrome (3031648461303).

The spelling of 3001214340300 in words is "three trillion, one billion, two hundred fourteen million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 82678081 165356162 248034243 330712324 413390405 496068486 826780810 909458891 992136972 1240171215 1653561620 1818917782 2066952025 2480342430 2728376673 3637835564 4133904050 4547294455 4960684860 5456753346 6200856075 8267808100 9094588910 10004047801 10913506692 12401712150 13641883365 18189177820 20008095602 22736472275 24803424300 27283766730 30012143403 40016191204 45472944550 50020239005 54567533460 60024286806 68209416825 90945889100 100040478010 120048573612 136418833650 150060717015 200080956020 250101195025 272837667300 300121434030 500202390050 600242868060 750303585075 1000404780100 1500607170150 3001214340300