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1003002201 = 32341332653
BaseRepresentation
bin111011110010001…
…001100101011001
32120220022210100200
4323302021211121
54023232032301
6243305452413
733566243445
oct7362114531
92526283320
101003002201
11475194443
1223baa1109
1312ca4b836
14972cd825
155d0c5c86
hex3bc89959

1003002201 has 12 divisors (see below), whose sum is σ = 1449249828. Its totient is φ = 668451744.

The previous prime is 1003002173. The next prime is 1003002211. The reversal of 1003002201 is 1022003001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 714172176 + 288830025 = 26724^2 + 16995^2 .

It is not a de Polignac number, because 1003002201 - 27 = 1003002073 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1003002211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14391 + ... + 47043.

It is an arithmetic number, because the mean of its divisors is an integer number (120770819).

Almost surely, 21003002201 is an apocalyptic number.

It is an amenable number.

1003002201 is a deficient number, since it is larger than the sum of its proper divisors (446247627).

1003002201 is a wasteful number, since it uses less digits than its factorization.

1003002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36072 (or 36069 counting only the distinct ones).

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

The square root of 1003002201 is about 31670.2099929887. The cubic root of 1003002201 is about 1000.9997338658. Note that the first 3 decimals are identical.

Adding to 1003002201 its reverse (1022003001), we get a palindrome (2025005202).

The spelling of 1003002201 in words is "one billion, three million, two thousand, two hundred one".

Divisors: 1 3 9 3413 10239 30717 32653 97959 293877 111444689 334334067 1003002201