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3301001010 = 2325172157517
BaseRepresentation
bin1100010011000001…
…0100011100110010
322112001102020002200
43010300110130302
523230024013020
61303315524030
7144542021436
oct30460243462
98461366080
103301001010
111444368a0a
127815b9616
13407b72b48
1423459a9c6
15144bee590
hexc4c14732

3301001010 has 48 divisors (see below), whose sum is σ = 9087465816. Its totient is φ = 828486144.

The previous prime is 3301000999. The next prime is 3301001021. The reversal of 3301001010 is 101001033.

It is an interprime number because it is at equal distance from previous prime (3301000999) and next prime (3301001021).

It can be written as a sum of positive squares in 4 ways, for example, as 2053993041 + 1247007969 = 45321^2 + 35313^2 .

It is a super-3 number, since 3×33010010103 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3301000983 and 3301001001.

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, 1077229 + ... + 1080288.

Almost surely, 23301001010 is an apocalyptic number.

3301001010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3301001010 is an abundant number, since it is smaller than the sum of its proper divisors (5786464806).

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

3301001010 is a wasteful number, since it uses less digits than its factorization.

3301001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157547 (or 2157544 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3301001010 is about 57454.3384784822. The cubic root of 3301001010 is about 1488.9560740229.

Adding to 3301001010 its reverse (101001033), we get a palindrome (3402002043).

The spelling of 3301001010 in words is "three billion, three hundred one million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 2157517 4315034 6472551 10787585 12945102 19417653 21575170 32362755 36677789 38835306 64725510 73355578 97088265 110033367 183388945 194176530 220066734 330100101 366777890 550166835 660200202 1100333670 1650500505 3301001010