Search a number
-
+
10111004021 = 593120114197
BaseRepresentation
bin10010110101010100…
…11010110101110101
3222002122122020000102
421122222122311311
5131201404112041
64351145523445
7505363054556
oct113252326565
928078566012
1010111004021
114319441a78
121b621a3585
13c519b4821
146bcbba32d
153e29d809b
hex25aa9ad75

10111004021 has 8 divisors (see below), whose sum is σ = 10137201624. Its totient is φ = 10084838400.

The previous prime is 10111004017. The next prime is 10111004039. The reversal of 10111004021 is 12040011101.

It can be written as a sum of positive squares in 4 ways, for example, as 1686334225 + 8424669796 = 41065^2 + 91786^2 .

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 10111004021 - 22 = 10111004017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111003993 and 10111004011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111004041) 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, 705095 + ... + 719291.

It is an arithmetic number, because the mean of its divisors is an integer number (1267150203).

Almost surely, 210111004021 is an apocalyptic number.

It is an amenable number.

10111004021 is a deficient number, since it is larger than the sum of its proper divisors (26197603).

10111004021 is a wasteful number, since it uses less digits than its factorization.

10111004021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10111004021 its reverse (12040011101), we get a palindrome (22151015122).

The spelling of 10111004021 in words is "ten billion, one hundred eleven million, four thousand, twenty-one".

Divisors: 1 593 1201 14197 712193 8418821 17050597 10111004021