Search a number
-
+
202200112101 = 31342411222499
BaseRepresentation
bin1011110001010000010…
…0001101101111100101
3201022220200011221220210
42330110010031233211
511303101212041401
6232520042050033
720415464411001
oct2742404155745
9638820157823
10202200112101
1178830767a69
12332304a9919
13160b508c860
149b0238b701
1553d66b44d6
hex2f1410dbe5

202200112101 has 16 divisors (see below), whose sum is σ = 290407320000. Its totient is φ = 124401396480.

The previous prime is 202200112067. The next prime is 202200112117. The reversal of 202200112101 is 101211002202.

202200112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202200112101 - 211 = 202200110053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202200112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445851 + ... + 776648.

It is an arithmetic number, because the mean of its divisors is an integer number (18150457500).

Almost surely, 2202200112101 is an apocalyptic number.

It is an amenable number.

202200112101 is a deficient number, since it is larger than the sum of its proper divisors (88207207899).

202200112101 is a wasteful number, since it uses less digits than its factorization.

202200112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226756.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202200112101 its reverse (101211002202), we get a palindrome (303411114303).

The spelling of 202200112101 in words is "two hundred two billion, two hundred million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 13 39 4241 12723 55133 165399 1222499 3667497 15892487 47677461 5184618259 15553854777 67400037367 202200112101