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2232130013 = 192310946861
BaseRepresentation
bin1000010100001011…
…1001100111011101
312202120010221201222
42011002321213131
514032411130023
61005254143125
7106212535451
oct20502714735
95676127658
102232130013
11a45a85353
12523651aa5
132975a0cb9
14172642661
15d0e66cc8
hex850b99dd

2232130013 has 16 divisors (see below), whose sum is σ = 2474313600. Its totient is φ = 2004108480.

The previous prime is 2232130001. The next prime is 2232130049. The reversal of 2232130013 is 3100312322.

2232130013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2232130013 - 214 = 2232113629 is a prime.

It is a super-3 number, since 3×22321300133 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2232129973 and 2232130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232120013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24203 + ... + 71063.

It is an arithmetic number, because the mean of its divisors is an integer number (154644600).

Almost surely, 22232130013 is an apocalyptic number.

2232130013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2232130013 is a deficient number, since it is larger than the sum of its proper divisors (242183587).

2232130013 is a wasteful number, since it uses less digits than its factorization.

2232130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47012.

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

The square root of 2232130013 is about 47245.4231963266. The cubic root of 2232130013 is about 1306.8923897309.

Adding to 2232130013 its reverse (3100312322), we get a palindrome (5332442335).

The spelling of 2232130013 in words is "two billion, two hundred thirty-two million, one hundred thirty thousand, thirteen".

Divisors: 1 19 23 109 437 2071 2507 46861 47633 890359 1077803 5107849 20478257 97049131 117480527 2232130013