Search a number
-
+
2202082113 = 37119532823
BaseRepresentation
bin1000001101000001…
…0001101101000001
312200110121100202210
42003100101231001
514002213111423
61002302132333
7105366250320
oct20320215501
95613540683
102202082113
11a30021980
125155810a9
132912b028a
1416c6600b7
15cd4cdb93
hex83411b41

2202082113 has 16 divisors (see below), whose sum is σ = 3660604416. Its totient is φ = 1143938640.

The previous prime is 2202082087. The next prime is 2202082139. The reversal of 2202082113 is 3112802022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2202082087) and next prime (2202082139).

It is not a de Polignac number, because 2202082113 - 25 = 2202082081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2202082113.

It is not an unprimeable number, because it can be changed into a prime (2202082163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4766181 + ... + 4766642.

It is an arithmetic number, because the mean of its divisors is an integer number (228787776).

Almost surely, 22202082113 is an apocalyptic number.

It is an amenable number.

2202082113 is a deficient number, since it is larger than the sum of its proper divisors (1458522303).

2202082113 is a wasteful number, since it uses less digits than its factorization.

2202082113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532844.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2202082113 is about 46926.3477483599. The cubic root of 2202082113 is about 1301.0016172328.

Adding to 2202082113 its reverse (3112802022), we get a palindrome (5314884135).

The spelling of 2202082113 in words is "two billion, two hundred two million, eighty-two thousand, one hundred thirteen".

Divisors: 1 3 7 11 21 33 77 231 9532823 28598469 66729761 104861053 200189283 314583159 734027371 2202082113