Search a number
-
+
2210000121 = 32737948091
BaseRepresentation
bin1000001110111001…
…1110110011111001
312201000111122020100
42003232132303321
514011230000441
61003143550013
7105523456020
oct20356366371
95630448210
102210000121
11a3453a88a
1251815b309
13292b232a4
1416d7218b7
15ce044cb6
hex83b9ecf9

2210000121 has 24 divisors (see below), whose sum is σ = 3746859584. Its totient is φ = 1228724640.

The previous prime is 2210000101. The next prime is 2210000161. The reversal of 2210000121 is 1210000122.

It is not a de Polignac number, because 2210000121 - 213 = 2209991929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210000101) 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 23 ways as a sum of consecutive naturals, for example, 471715 + ... + 476376.

Almost surely, 22210000121 is an apocalyptic number.

2210000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210000121 is a deficient number, since it is larger than the sum of its proper divisors (1536859463).

2210000121 is a wasteful number, since it uses less digits than its factorization.

2210000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948141 (or 948138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2210000121 is about 47010.6383811154. The cubic root of 2210000121 is about 1302.5590854947.

Adding to 2210000121 its reverse (1210000122), we get a palindrome (3420000243).

Subtracting from 2210000121 its reverse (1210000122), we obtain a palindrome (999999999).

The spelling of 2210000121 in words is "two billion, two hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 948091 2844273 6636637 8532819 19909911 35079367 59729733 105238101 245555569 315714303 736666707 2210000121