Search a number
-
+
102203020313 = 314180411503
BaseRepresentation
bin101111100101111000…
…1100101010000011001
3100202210201000100222122
41133023301211100121
53133302433122223
6114541301231025
710245454224152
oct1371361452031
9322721010878
10102203020313
113a386a38949
1217983702475
13983a05aa64
144d37886929
1529d28515c8
hex17cbc65419

102203020313 has 8 divisors (see below), whose sum is σ = 108073061376. Its totient is φ = 96493802400.

The previous prime is 102203020301. The next prime is 102203020331. The reversal of 102203020313 is 313020302201.

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 102203020313 - 230 = 101129278489 is a prime.

It is a super-2 number, since 2×1022030203132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102203020291 and 102203020300.

It is not an unprimeable number, because it can be changed into a prime (102203020373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40204481 + ... + 40207022.

It is an arithmetic number, because the mean of its divisors is an integer number (13509132672).

Almost surely, 2102203020313 is an apocalyptic number.

It is an amenable number.

102203020313 is a deficient number, since it is larger than the sum of its proper divisors (5870041063).

102203020313 is an equidigital number, since it uses as much as digits as its factorization.

102203020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80411575.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102203020313 its reverse (313020302201), we get a palindrome (415223322514).

The spelling of 102203020313 in words is "one hundred two billion, two hundred three million, twenty thousand, three hundred thirteen".

Divisors: 1 31 41 1271 80411503 2492756593 3296871623 102203020313