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2000033001 = 32611336353
BaseRepresentation
bin111011100110110…
…0001010011101001
312011101102012111100
41313031201103221
513044002024001
6530243352013
7100364000001
oct16715412351
95141365440
102000033001
11936a6a43a
12479982609
1325b4893a5
1414d8a7001
15ba8bc586
hex773614e9

2000033001 has 12 divisors (see below), whose sum is σ = 2889488628. Its totient is φ = 1333100544.

The previous prime is 2000032973. The next prime is 2000033029. The reversal of 2000033001 is 1003300002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2000032973) and next prime (2000033029).

It can be written as a sum of positive squares in 2 ways, for example, as 832034025 + 1167998976 = 28845^2 + 34176^2 .

It is not a de Polignac number, because 2000033001 - 213 = 2000024809 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2000035001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36841 + ... + 73193.

It is an arithmetic number, because the mean of its divisors is an integer number (240790719).

Almost surely, 22000033001 is an apocalyptic number.

It is an amenable number.

2000033001 is a deficient number, since it is larger than the sum of its proper divisors (889455627).

2000033001 is a wasteful number, since it uses less digits than its factorization.

2000033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42472 (or 42469 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2000033001 is about 44721.7285108704. The cubic root of 2000033001 is about 1259.9279796325.

Adding to 2000033001 its reverse (1003300002), we get a palindrome (3003333003).

The spelling of 2000033001 in words is "two billion, thirty-three thousand, one".

Divisors: 1 3 9 6113 18339 36353 55017 109059 327177 222225889 666677667 2000033001