Search a number
-
+
2232044214101 = 13501773421801
BaseRepresentation
bin100000011110110000001…
…100111101011101010101
321220101021222222021101222
4200132300030331131111
5243032211304322401
64425215325500125
7320155064531552
oct40366014753525
97811258867358
102232044214101
11790671851359
12300703111645
13132633603680
147a0626a3a29
153d0d9773c1b
hex207b033d755

2232044214101 has 8 divisors (see below), whose sum is σ = 2403788530584. Its totient is φ = 2060306841600.

The previous prime is 2232044214079. The next prime is 2232044214157. The reversal of 2232044214101 is 1014124402322.

2232044214101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 236249463025 + 1995794751076 = 486055^2 + 1412726^2 .

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 2232044214101 - 214 = 2232044197717 is a prime.

It is a super-3 number, since 3×22320442141013 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232044214161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058600 + ... + 2363201.

It is an arithmetic number, because the mean of its divisors is an integer number (300473566323).

Almost surely, 22232044214101 is an apocalyptic number.

It is an amenable number.

2232044214101 is a deficient number, since it is larger than the sum of its proper divisors (171744316483).

2232044214101 is a wasteful number, since it uses less digits than its factorization.

2232044214101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471991.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2232044214101 its reverse (1014124402322), we get a palindrome (3246168616423).

The spelling of 2232044214101 in words is "two trillion, two hundred thirty-two billion, forty-four million, two hundred fourteen thousand, one hundred one".

Divisors: 1 13 50177 652301 3421801 44483413 171695708777 2232044214101