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102003000007 = 1728321202037
BaseRepresentation
bin101111011111111011…
…0100100001011000111
3100202021202122021201011
41132333312210023013
53132400232000012
6114505354143051
710240505123446
oct1367766441307
9322252567634
10102003000007
113a294041707
1217928721a87
13980779744c
144d1909ad5d
1529beee11a7
hex17bfda42c7

102003000007 has 8 divisors (see below), whose sum is σ = 108384818256. Its totient is φ = 95663586432.

The previous prime is 102002999963. The next prime is 102003000037. The reversal of 102003000007 is 700000300201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102003000007 - 223 = 101994611399 is a prime.

It is a super-2 number, since 2×1020030000072 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003000037) 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 7 ways as a sum of consecutive naturals, for example, 10596208 + ... + 10605829.

It is an arithmetic number, because the mean of its divisors is an integer number (13548102282).

Almost surely, 2102003000007 is an apocalyptic number.

102003000007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102003000007 is a deficient number, since it is larger than the sum of its proper divisors (6381818249).

102003000007 is a wasteful number, since it uses less digits than its factorization.

102003000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21202337.

The product of its (nonzero) digits is 42, while the sum is 13.

Adding to 102003000007 its reverse (700000300201), we get a palindrome (802003300208).

The spelling of 102003000007 in words is "one hundred two billion, three million, seven", and thus it is an aban number.

Divisors: 1 17 283 4811 21202037 360434629 6000176471 102003000007