Search a number
-
+
10022303020301 = 112136371457737
BaseRepresentation
bin1001000111010111111111…
…0011111011010100001101
31022111010022112022002000022
42101311333303323110031
52303201134033122201
633152103224111525
72053042004032145
oct221657763732415
938433275262008
1010022303020301
113214486857300
12115a4810055a5
135791399c4c60
1426912122b925
15125a82e7a41b
hex91d7fcfb50d

10022303020301 has 12 divisors (see below), whose sum is σ = 11863654308156. Its totient is φ = 8410324211520.

The previous prime is 10022303020283. The next prime is 10022303020343. The reversal of 10022303020301 is 10302030322001.

It can be written as a sum of positive squares in 2 ways, for example, as 3352015384201 + 6670287636100 = 1830851^2 + 2582690^2 .

It is not a de Polignac number, because 10022303020301 - 210 = 10022303019277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022303020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022303020391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3185727296 + ... + 3185730441.

It is an arithmetic number, because the mean of its divisors is an integer number (988637859013).

Almost surely, 210022303020301 is an apocalyptic number.

10022303020301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022303020301 is a deficient number, since it is larger than the sum of its proper divisors (1841351287855).

10022303020301 is a wasteful number, since it uses less digits than its factorization.

10022303020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371457772 (or 6371457761 counting only the distinct ones).

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

Adding to 10022303020301 its reverse (10302030322001), we get a palindrome (20324333342302).

The spelling of 10022303020301 in words is "ten trillion, twenty-two billion, three hundred three million, twenty thousand, three hundred one".

Divisors: 1 11 13 121 143 1573 6371457737 70086035107 82828950581 770946386177 911118456391 10022303020301