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2003210001 = 331323248137
BaseRepresentation
bin111011101100110…
…1000111100010001
312011121101121112000
41313121220330101
513100310210001
6530435424213
7100433001252
oct16731507421
95147347460
102003210001
1193883a361
1247aa55069
1325c02c480
14150092b29
15bace8a86
hex77668f11

2003210001 has 32 divisors (see below), whose sum is σ = 3334974720. Its totient is φ = 1179142272.

The previous prime is 2003209963. The next prime is 2003210039. The reversal of 2003210001 is 1000123002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2003209963) and next prime (2003210039).

It is not a de Polignac number, because 2003210001 - 211 = 2003207953 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 (2003210201) 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 31 ways as a sum of consecutive naturals, for example, 115996 + ... + 132141.

It is an arithmetic number, because the mean of its divisors is an integer number (104217960).

Almost surely, 22003210001 is an apocalyptic number.

It is an amenable number.

2003210001 is a deficient number, since it is larger than the sum of its proper divisors (1331764719).

2003210001 is a wasteful number, since it uses less digits than its factorization.

2003210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248182 (or 248176 counting only the distinct ones).

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

The square root of 2003210001 is about 44757.2340633333. The cubic root of 2003210001 is about 1260.5947475666.

Adding to 2003210001 its reverse (1000123002), we get a palindrome (3003333003).

The spelling of 2003210001 in words is "two billion, three million, two hundred ten thousand, one".

Divisors: 1 3 9 13 23 27 39 69 117 207 299 351 621 897 2691 8073 248137 744411 2233233 3225781 5707151 6699699 9677343 17121453 29032029 51364359 74192963 87096087 154093077 222578889 667736667 2003210001