Search a number
-
+
2231002032101 = 17131235413653
BaseRepresentation
bin100000011101110010000…
…101010110011111100101
321220021121100220221110122
4200131302011112133211
5243023043010011401
64424524100131325
7320120211244223
oct40356205263745
97807540827418
102231002032101
11790187537617
12300472096b45
131324c871772b
1479da40d5b13
153d07800e21b
hex207721567e5

2231002032101 has 4 divisors (see below), whose sum is σ = 2362237445772. Its totient is φ = 2099766618432.

The previous prime is 2231002032079. The next prime is 2231002032113. The reversal of 2231002032101 is 1012302001322.

2231002032101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1837038679876 + 393963352225 = 1355374^2 + 627665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231002032101 is a prime.

It is a super-3 number, since 3×22310020321013 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 131235413653 = 2231002032101 / (2 + 2 + 3 + 1 + 0 + 0 + 2 + 0 + 3 + 2 + 1 + 0 + 1).

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 2231002032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231002031101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65617706810 + ... + 65617706843.

It is an arithmetic number, because the mean of its divisors is an integer number (590559361443).

Almost surely, 22231002032101 is an apocalyptic number.

It is an amenable number.

2231002032101 is a deficient number, since it is larger than the sum of its proper divisors (131235413671).

2231002032101 is a wasteful number, since it uses less digits than its factorization.

2231002032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131235413670.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2231002032101 its reverse (1012302001322), we get a palindrome (3243304033423).

The spelling of 2231002032101 in words is "two trillion, two hundred thirty-one billion, two million, thirty-two thousand, one hundred one".

Divisors: 1 17 131235413653 2231002032101