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3201130016 = 25722041537
BaseRepresentation
bin1011111011001101…
…0101111000100000
322021002111020211222
42332303111320200
523023442130031
61245351154212
7142220104400
oct27663257040
98232436758
103201130016
1113a2a553a7
12754075968
133c0275c96
14225200800
1513b072e7b
hexbecd5e20

3201130016 has 36 divisors (see below), whose sum is σ = 7331162958. Its totient is φ = 1371912192.

The previous prime is 3201129979. The next prime is 3201130033. The reversal of 3201130016 is 6100311023.

It can be written as a sum of positive squares in only one way, i.e., 2024640016 + 1176490000 = 44996^2 + 34300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3201129976 and 3201130003.

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 5 ways as a sum of consecutive naturals, for example, 1019201 + ... + 1022336.

Almost surely, 23201130016 is an apocalyptic number.

It is an amenable number.

3201130016 is an abundant number, since it is smaller than the sum of its proper divisors (4130032942).

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

3201130016 is a wasteful number, since it uses less digits than its factorization.

3201130016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041561 (or 2041546 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3201130016 is about 56578.5296380173. The cubic root of 3201130016 is about 1473.7860379814.

Adding to 3201130016 its reverse (6100311023), we get a palindrome (9301441039).

The spelling of 3201130016 in words is "three billion, two hundred one million, one hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2041537 4083074 8166148 14290759 16332296 28581518 32664592 57163036 65329184 100035313 114326072 200070626 228652144 400141252 457304288 800282504 1600565008 3201130016