Search a number
-
+
10000202303 = 713195783807
BaseRepresentation
bin10010101000000111…
…01111101000111111
3221210221010220122002
421110003233220333
5130440022433203
64332151012515
7502546213520
oct112403575077
927727126562
1010000202303
114271943003
121b3106a13b
13c34a5b590
146ac1b6847
153d7decd88
hex2540efa3f

10000202303 has 16 divisors (see below), whose sum is σ = 12955729920. Its totient is φ = 7495812576.

The previous prime is 10000202297. The next prime is 10000202309. The reversal of 10000202303 is 30320200001.

It is an interprime number because it is at equal distance from previous prime (10000202297) and next prime (10000202309).

It is not a de Polignac number, because 10000202303 - 24 = 10000202287 is a prime.

It is a super-2 number, since 2×100002023032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000202309) 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 15 ways as a sum of consecutive naturals, for example, 2890175 + ... + 2893632.

It is an arithmetic number, because the mean of its divisors is an integer number (809733120).

Almost surely, 210000202303 is an apocalyptic number.

10000202303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10000202303 is a deficient number, since it is larger than the sum of its proper divisors (2955527617).

10000202303 is a wasteful number, since it uses less digits than its factorization.

10000202303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783846.

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10000202303 its reverse (30320200001), we get a palindrome (40320402304).

The spelling of 10000202303 in words is "ten billion, two hundred two thousand, three hundred three".

Divisors: 1 7 13 19 91 133 247 1729 5783807 40486649 75189491 109892333 526326437 769246331 1428600329 10000202303