Search a number
-
+
2201002001112 = 2332931677320857
BaseRepresentation
bin100000000001110101111…
…100010100001011011000
321210102011121120110120210
4200001311330110023120
5242030123003013422
64403043143251120
7315005611216065
oct40016574241330
97712147513523
102201002001112
11779492282282
122b669b149aa0
1312c7273414c5
1478759a7dc6c
153c3be3cb10c
hex20075f142d8

2201002001112 has 256 divisors, whose sum is σ = 6045549465600. Its totient is φ = 666003824640.

The previous prime is 2201002001111. The next prime is 2201002001131. The reversal of 2201002001112 is 2111002001022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201002001111) 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 63 ways as a sum of consecutive naturals, for example, 105517788 + ... + 105538644.

It is an arithmetic number, because the mean of its divisors is an integer number (23615427600).

Almost surely, 22201002001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201002001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022774732800).

2201002001112 is an abundant number, since it is smaller than the sum of its proper divisors (3844547464488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201002001112 is a wasteful number, since it uses less digits than its factorization.

2201002001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21066 (or 21062 counting only the distinct ones).

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

Adding to 2201002001112 its reverse (2111002001022), we get a palindrome (4312004002134).

The spelling of 2201002001112 in words is "two trillion, two hundred one billion, two million, one thousand, one hundred twelve".