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2101222031 is a prime number
BaseRepresentation
bin111110100111110…
…0001101010001111
312102102211010202012
41331033201222033
513300403101111
6544300251435
7103033043516
oct17517415217
95372733665
102101222031
119890a3237
124a7840b7b
1327642815c
1415d0c767d
15c470948b
hex7d3e1a8f

2101222031 has 2 divisors, whose sum is σ = 2101222032. Its totient is φ = 2101222030.

The previous prime is 2101222021. The next prime is 2101222033. The reversal of 2101222031 is 1302221012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2101222031 is a prime.

It is a super-2 number, since 2×21012220312 = 8830268047119529922, which contains 22 as substring.

Together with 2101222033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101221997 and 2101222015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101222033) 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 as a sum of consecutive naturals, namely, 1050611015 + 1050611016.

It is an arithmetic number, because the mean of its divisors is an integer number (1050611016).

Almost surely, 22101222031 is an apocalyptic number.

2101222031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101222031 is an equidigital number, since it uses as much as digits as its factorization.

2101222031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2101222031 is about 45839.0884617048. The cubic root of 2101222031 is about 1280.8275148265.

Adding to 2101222031 its reverse (1302221012), we get a palindrome (3403443043).

The spelling of 2101222031 in words is "two billion, one hundred one million, two hundred twenty-two thousand, thirty-one".