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102002202003 = 31331233362099
BaseRepresentation
bin101111011111111001…
…1100001010110010011
3100202021201010202001110
41132333303201112103
53132400030431003
6114505325104403
710240465261062
oct1367763412623
9322251122043
10102002202003
113a2936470a9
12179283b8103
139807578160
144d18d301d9
1529bedd4a03
hex17bfce1593

102002202003 has 32 divisors (see below), whose sum is σ = 151838668800. Its totient is φ = 60484849920.

The previous prime is 102002201893. The next prime is 102002202011. The reversal of 102002202003 is 300202200201.

It is not a de Polignac number, because 102002202003 - 28 = 102002201747 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102002202003.

It is not an unprimeable number, because it can be changed into a prime (102002202083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100648 + ... + 462746.

It is an arithmetic number, because the mean of its divisors is an integer number (4744958400).

Almost surely, 2102002202003 is an apocalyptic number.

102002202003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102002202003 is a deficient number, since it is larger than the sum of its proper divisors (49836466797).

102002202003 is a wasteful number, since it uses less digits than its factorization.

102002202003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362379.

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

Adding to 102002202003 its reverse (300202200201), we get a palindrome (402204402204).

The spelling of 102002202003 in words is "one hundred two billion, two million, two hundred two thousand, three".

Divisors: 1 3 13 31 39 93 233 403 699 1209 3029 7223 9087 21669 93899 281697 362099 1086297 4707287 11225069 14121861 33675207 84369067 145925897 253107201 437777691 1096797871 2615441077 3290393613 7846323231 34000734001 102002202003