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2120203117 is a prime number
BaseRepresentation
bin111111001011111…
…1011101101101101
312110202112110220101
41332113323231231
513320232444432
6550215151101
7103353300124
oct17627735555
95422473811
102120203117
11998887a8a
124b2075491
1327a342876
14161828abb
15c62084e7
hex7e5fbb6d

2120203117 has 2 divisors, whose sum is σ = 2120203118. Its totient is φ = 2120203116.

The previous prime is 2120203097. The next prime is 2120203139. The reversal of 2120203117 is 7113020212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1467962596 + 652240521 = 38314^2 + 25539^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120203117 is a prime.

It is a super-2 number, since 2×21202031172 = 8990522514673031378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120203094 and 2120203103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120203157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060101558 + 1060101559.

It is an arithmetic number, because the mean of its divisors is an integer number (1060101559).

Almost surely, 22120203117 is an apocalyptic number.

It is an amenable number.

2120203117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120203117 is an equidigital number, since it uses as much as digits as its factorization.

2120203117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2120203117 is about 46045.6633897265. The cubic root of 2120203117 is about 1284.6726832149.

Adding to 2120203117 its reverse (7113020212), we get a palindrome (9233223329).

The spelling of 2120203117 in words is "two billion, one hundred twenty million, two hundred three thousand, one hundred seventeen".