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3201422120 = 2351310495869
BaseRepresentation
bin1011111011010001…
…1101001100101000
322021010001002112122
42332310131030220
523024031001440
61245401330412
7142222432121
oct27664351450
98233032478
103201422120
1113a3134906
12754196a08
133c0348c20
14225279048
1513b0ce7b5
hexbed1d328

3201422120 has 64 divisors (see below), whose sum is σ = 7766010000. Its totient is φ = 1180735488.

The previous prime is 3201422117. The next prime is 3201422137. The reversal of 3201422120 is 212241023.

It can be written as a sum of positive squares in 8 ways, for example, as 795127204 + 2406294916 = 28198^2 + 49054^2 .

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 15 ways as a sum of consecutive naturals, for example, 542546 + ... + 548414.

Almost surely, 23201422120 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 3201422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883005000).

3201422120 is an abundant number, since it is smaller than the sum of its proper divisors (4564587880).

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

3201422120 is a wasteful number, since it uses less digits than its factorization.

3201422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3201422120 is about 56581.1109823764. The cubic root of 3201422120 is about 1473.8308644126.

Adding to 3201422120 its reverse (212241023), we get a palindrome (3413663143).

The spelling of 3201422120 in words is "three billion, two hundred one million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1049 2098 4196 5245 5869 8392 10490 11738 13637 20980 23476 27274 29345 41960 46952 54548 58690 68185 76297 109096 117380 136370 152594 234760 272740 305188 381485 545480 610376 762970 1525940 3051880 6156581 12313162 24626324 30782905 49252648 61565810 80035553 123131620 160071106 246263240 320142212 400177765 640284424 800355530 1600711060 3201422120