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3105021300 = 22352291732063
BaseRepresentation
bin1011100100010010…
…1101110101110100
322000101122102110220
42321010231311310
522324341140200
61232035214340
7136642150143
oct27104556564
98011572426
103105021300
111353781507
12727a473b0
133a6395714
1421654375a
151328db4a0
hexb912dd74

3105021300 has 144 divisors (see below), whose sum is σ = 9351901440. Its totient is φ = 794447360.

The previous prime is 3105021289. The next prime is 3105021331. The reversal of 3105021300 is 31205013.

It is a happy number.

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 3105021300.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1504069 + ... + 1506131.

It is an arithmetic number, because the mean of its divisors is an integer number (64943760).

Almost surely, 23105021300 is an apocalyptic number.

3105021300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675950720).

3105021300 is an abundant number, since it is smaller than the sum of its proper divisors (6246880140).

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

3105021300 is a wasteful number, since it uses less digits than its factorization.

3105021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3105021300 is about 55722.7179882676. The cubic root of 3105021300 is about 1458.8865752533.

Adding to 3105021300 its reverse (31205013), we get a palindrome (3136226313).

The spelling of 3105021300 in words is "three billion, one hundred five million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 173 174 290 300 346 348 435 519 580 692 725 865 870 1038 1450 1730 1740 2063 2076 2175 2595 2900 3460 4126 4325 4350 5017 5190 6189 8252 8650 8700 10034 10315 10380 12378 12975 15051 17300 20068 20630 24756 25085 25950 30102 30945 41260 50170 51575 51900 59827 60204 61890 75255 100340 103150 119654 123780 125425 150510 154725 179481 206300 239308 250850 299135 301020 309450 356899 358962 376275 501700 598270 618900 713798 717924 752550 897405 1070697 1196540 1427596 1495675 1505100 1784495 1794810 2141394 2991350 3568990 3589620 4282788 4487025 5353485 5982700 7137980 8922475 8974050 10350071 10706970 17844950 17948100 20700142 21413940 26767425 31050213 35689900 41400284 51750355 53534850 62100426 103500710 107069700 124200852 155251065 207001420 258751775 310502130 517503550 621004260 776255325 1035007100 1552510650 3105021300