Search a number
-
+
2202331101 = 353129110729
BaseRepresentation
bin1000001101000100…
…1110011111011101
312200111002000022120
42003101032133131
514002244043401
61002311333153
7105401335245
oct20321163735
95614060276
102202331101
11a30181a53
125156811b9
132913696c9
1416c6c6b25
15cd52c836
hex8344e7dd

2202331101 has 16 divisors (see below), whose sum is σ = 2994442560. Its totient is φ = 1439268480.

The previous prime is 2202331099. The next prime is 2202331133. The reversal of 2202331101 is 1011332022.

2202331101 = 156392 + 156402 + ... + 156472.

It is not a de Polignac number, because 2202331101 - 21 = 2202331099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199905 + ... + 210633.

It is an arithmetic number, because the mean of its divisors is an integer number (187152660).

Almost surely, 22202331101 is an apocalyptic number.

It is an amenable number.

2202331101 is a deficient number, since it is larger than the sum of its proper divisors (792111459).

2202331101 is a wasteful number, since it uses less digits than its factorization.

2202331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2202331101 is about 46929.0006392636. Note that the first 3 decimals coincide. The cubic root of 2202331101 is about 1301.0506498553.

Adding to 2202331101 its reverse (1011332022), we get a palindrome (3213663123).

The spelling of 2202331101 in words is "two billion, two hundred two million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 3 53 159 1291 3873 10729 32187 68423 205269 568637 1705911 13851139 41553417 734110367 2202331101