Search a number
-
+
2132202111013 = 131710988513517
BaseRepresentation
bin11111000001110001001…
…001100100000000100101
321112211120211102221000001
4133001301021210000211
5234413222220023023
64311304203021301
7310021645623112
oct37016111440045
97484524387001
102132202111013
11752297561577
122a529a20a831
131260b1729370
14752b05c5909
153a6e43286ad
hex1f071264025

2132202111013 has 16 divisors (see below), whose sum is σ = 2453594718960. Its totient is φ = 1835416267776.

The previous prime is 2132202110989. The next prime is 2132202111107. The reversal of 2132202111013 is 3101112022312.

It can be written as a sum of positive squares in 8 ways, for example, as 82319329 + 2132119791684 = 9073^2 + 1460178^2 .

It is a de Polignac number, because none of the positive numbers 2k-2132202111013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132202111713) 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, 44232670 + ... + 44280847.

It is an arithmetic number, because the mean of its divisors is an integer number (153349669935).

Almost surely, 22132202111013 is an apocalyptic number.

It is an amenable number.

2132202111013 is a deficient number, since it is larger than the sum of its proper divisors (321392607947).

2132202111013 is a wasteful number, since it uses less digits than its factorization.

2132202111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88513656.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2132202111013 its reverse (3101112022312), we get a palindrome (5233314133325).

The spelling of 2132202111013 in words is "two trillion, one hundred thirty-two billion, two hundred two million, one hundred eleven thousand, thirteen".

Divisors: 1 13 17 109 221 1417 1853 24089 88513517 1150675721 1504729789 9647973353 19561487257 125423653589 164015547001 2132202111013