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2003212002 = 2311233142569
BaseRepresentation
bin111011101100110…
…1001011011100010
312011121101201021010
41313121221123202
513100310241002
6530435441350
7100433010141
oct16731513342
95147351233
102003212002
11938840910
1247aa56256
1325c03035c
14150093758
15bace946c
hex776696e2

2003212002 has 64 divisors (see below), whose sum is σ = 4707901440. Its totient is φ = 561897600.

The previous prime is 2003211961. The next prime is 2003212019. The reversal of 2003212002 is 2002123002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25774 + ... + 68342.

It is an arithmetic number, because the mean of its divisors is an integer number (73560960).

Almost surely, 22003212002 is an apocalyptic number.

2003212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353950720).

2003212002 is an abundant number, since it is smaller than the sum of its proper divisors (2704689438).

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

2003212002 is a wasteful number, since it uses less digits than its factorization.

2003212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42639.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2003212002 is about 44757.2564172560. The cubic root of 2003212002 is about 1260.5951673012.

Adding to 2003212002 its reverse (2002123002), we get a palindrome (4005335004).

The spelling of 2003212002 in words is "two billion, three million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 682 713 759 1023 1426 1518 2046 2139 4278 7843 15686 23529 42569 47058 85138 127707 255414 468259 936518 979087 1319639 1404777 1958174 2639278 2809554 2937261 3958917 5874522 7917834 10769957 14516029 21539914 29032058 30351697 32309871 43548087 60703394 64619742 87096174 91055091 182110182 333868667 667737334 1001606001 2003212002