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2172267101 is a prime number
BaseRepresentation
bin1000000101111010…
…0010101001011101
312121101111121021002
42001132202221131
513422100021401
6555315120045
7104554652144
oct20136425135
95541447232
102172267101
11a15208474
125075a3025
13288071564
141686dc75b
15caa8ea6b
hex817a2a5d

2172267101 has 2 divisors, whose sum is σ = 2172267102. Its totient is φ = 2172267100.

The previous prime is 2172267091. The next prime is 2172267107. The reversal of 2172267101 is 1017622712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2081731876 + 90535225 = 45626^2 + 9515^2 .

It is a cyclic number.

It is not a de Polignac number, because 2172267101 - 26 = 2172267037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2172267107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1086133550 + 1086133551.

It is an arithmetic number, because the mean of its divisors is an integer number (1086133551).

Almost surely, 22172267101 is an apocalyptic number.

It is an amenable number.

2172267101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2172267101 is an equidigital number, since it uses as much as digits as its factorization.

2172267101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 2172267101 is about 46607.5863030902. The cubic root of 2172267101 is about 1295.1032949313.

Adding to 2172267101 its reverse (1017622712), we get a palindrome (3189889813).

The spelling of 2172267101 in words is "two billion, one hundred seventy-two million, two hundred sixty-seven thousand, one hundred one".