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2121222101 = 731131371877
BaseRepresentation
bin111111001101111…
…0100011111010101
312110211110020200112
41332123310133111
513321013101401
6550253052405
7103365042665
oct17633643725
95424406615
102121222101
11999413619
124b2487105
1327a60b60b
14161a121a5
15c635a3bb
hex7e6f47d5

2121222101 has 16 divisors (see below), whose sum is σ = 2186307504. Its totient is φ = 2057416704.

The previous prime is 2121222097. The next prime is 2121222109. The reversal of 2121222101 is 1012221212.

It can be written as a sum of positive squares in 8 ways, for example, as 71487025 + 2049735076 = 8455^2 + 45274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121222101 - 22 = 2121222097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121222109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129175 + ... + 1131051.

It is an arithmetic number, because the mean of its divisors is an integer number (136644219).

Almost surely, 22121222101 is an apocalyptic number.

It is an amenable number.

2121222101 is a deficient number, since it is larger than the sum of its proper divisors (65085403).

2121222101 is a wasteful number, since it uses less digits than its factorization.

2121222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2121222101 is about 46056.7269896592. The cubic root of 2121222101 is about 1284.8784577215.

Adding to 2121222101 its reverse (1012221212), we get a palindrome (3133443313).

The spelling of 2121222101 in words is "two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 73 113 137 1877 8249 10001 15481 137021 212101 257149 1130113 15483373 18771877 29057837 2121222101