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3301201100 = 2252174147363
BaseRepresentation
bin1100010011000100…
…0101010011001100
322112001210101120102
43010301011103030
523230101413400
61303324110232
7144543514001
oct30461052314
98461711512
103301201100
11144449527a
12781695378
13407c12c42
1423460d8a8
15144c3d9d5
hexc4c454cc

3301201100 has 72 divisors (see below), whose sum is σ = 7770158928. Its totient is φ = 1212467200.

The previous prime is 3301201091. The next prime is 3301201139. The reversal of 3301201100 is 11021033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46019 + ... + 93381.

It is an arithmetic number, because the mean of its divisors is an integer number (107918874).

Almost surely, 23301201100 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 3301201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885079464).

3301201100 is an abundant number, since it is smaller than the sum of its proper divisors (4468957828).

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

3301201100 is a wasteful number, since it uses less digits than its factorization.

3301201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47435 (or 47428 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 3301201100 is about 57456.0797479257. The cubic root of 3301201100 is about 1488.9861577460.

Adding to 3301201100 its reverse (11021033), we get a palindrome (3312222133).

The spelling of 3301201100 in words is "three billion, three hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1700 2050 2788 3485 4100 6970 13940 17425 34850 47363 69700 94726 189452 236815 473630 805171 947260 1184075 1610342 1941883 2368150 3220684 3883766 4025855 4736300 7767532 8051710 9709415 16103420 19418830 20129275 33012011 38837660 40258550 48547075 66024022 80517100 97094150 132048044 165060055 194188300 330120110 660240220 825300275 1650600550 3301201100