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1032002001 = 32114666889
BaseRepresentation
bin111101100000110…
…001100111010001
32122220220010121100
4331200301213101
54103143031001
6250223215013
734400605122
oct7540614721
92586803540
101032002001
1148a5a1418
12249747469
13135a63494
149b0bc049
1560903586
hex3d8319d1

1032002001 has 6 divisors (see below), whose sum is σ = 1490669570. Its totient is φ = 688001328.

The previous prime is 1032001991. The next prime is 1032002047. The reversal of 1032002001 is 1002002301.

It is a happy number.

1032002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1031951376 + 50625 = 32124^2 + 225^2 .

It is a de Polignac number, because none of the positive numbers 2k-1032002001 is a prime.

It is a super-3 number, since 3×10320020013 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 114666889 = 1032002001 / (1 + 0 + 3 + 2 + 0 + 0 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1032002071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57333436 + ... + 57333453.

Almost surely, 21032002001 is an apocalyptic number.

It is an amenable number.

1032002001 is a deficient number, since it is larger than the sum of its proper divisors (458667569).

1032002001 is a wasteful number, since it uses less digits than its factorization.

1032002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114666895 (or 114666892 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1032002001 is about 32124.7879526076. The cubic root of 1032002001 is about 1010.5555225809. Note that the first 4 decimals are identical.

Adding to 1032002001 its reverse (1002002301), we get a palindrome (2034004302).

The spelling of 1032002001 in words is "one billion, thirty-two million, two thousand, one".

Divisors: 1 3 9 114666889 344000667 1032002001