Search a number
-
+
1002123405 = 32522269409
BaseRepresentation
bin111011101110110…
…011000010001101
32120211200010212200
4323232303002031
54023020422110
6243234552113
733555623403
oct7356630215
92524603780
101002123405
11474744168
1223b738639
1312c80183a
1497141473
155cea06c0
hex3bbb308d

1002123405 has 12 divisors (see below), whose sum is σ = 1737013980. Its totient is φ = 534465792.

The previous prime is 1002123389. The next prime is 1002123431. The reversal of 1002123405 is 5043212001.

It can be written as a sum of positive squares in 2 ways, for example, as 298494729 + 703628676 = 17277^2 + 26526^2 .

It is not a de Polignac number, because 1002123405 - 24 = 1002123389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11134660 + ... + 11134749.

It is an arithmetic number, because the mean of its divisors is an integer number (144751165).

Almost surely, 21002123405 is an apocalyptic number.

1002123405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002123405 is a deficient number, since it is larger than the sum of its proper divisors (734890575).

1002123405 is a wasteful number, since it uses less digits than its factorization.

1002123405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22269420 (or 22269417 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1002123405 is about 31656.3327787664. The cubic root of 1002123405 is about 1000.7073012736.

Adding to 1002123405 its reverse (5043212001), we get a palindrome (6045335406).

The spelling of 1002123405 in words is "one billion, two million, one hundred twenty-three thousand, four hundred five".

Divisors: 1 3 5 9 15 45 22269409 66808227 111347045 200424681 334041135 1002123405