Search a number
-
+
102003240313 = 1322934263769
BaseRepresentation
bin101111011111111011…
…1011110110101111001
3100202021210002111100101
41132333313132311321
53132400312142223
6114505403235401
710240510144162
oct1367767366571
9322253074311
10102003240313
113a294196207
1217928818b61
13980784c940
144d19120769
1529c003c4ad
hex17bfdded79

102003240313 has 8 divisors (see below), whose sum is σ = 110329339400. Its totient is φ = 93745669248.

The previous prime is 102003240301. The next prime is 102003240331. The reversal of 102003240313 is 313042300201.

It can be written as a sum of positive squares in 4 ways, for example, as 42266014569 + 59737225744 = 205587^2 + 244412^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102003240313 is a prime.

It is a super-2 number, since 2×1020032403132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102003246313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17128908 + ... + 17134861.

It is an arithmetic number, because the mean of its divisors is an integer number (13791167425).

Almost surely, 2102003240313 is an apocalyptic number.

102003240313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102003240313 is a deficient number, since it is larger than the sum of its proper divisors (8326099087).

102003240313 is a wasteful number, since it uses less digits than its factorization.

102003240313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34264011.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102003240313 its reverse (313042300201), we get a palindrome (415045540514).

The spelling of 102003240313 in words is "one hundred two billion, three million, two hundred forty thousand, three hundred thirteen".

Divisors: 1 13 229 2977 34263769 445428997 7846403101 102003240313