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2022834101 is a prime number
BaseRepresentation
bin111100010010001…
…1111111110110101
312012222022121201112
41320210133332311
513120321142401
6532420204405
7101061543341
oct17044377665
95188277645
102022834101
11948923222
12485539705
13263110772
14152920621
15bc8c33bb
hex7891ffb5

2022834101 has 2 divisors, whose sum is σ = 2022834102. Its totient is φ = 2022834100.

The previous prime is 2022834083. The next prime is 2022834113. The reversal of 2022834101 is 1014382202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1109223025 + 913611076 = 33305^2 + 30226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2022834101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022834901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011417050 + 1011417051.

It is an arithmetic number, because the mean of its divisors is an integer number (1011417051).

Almost surely, 22022834101 is an apocalyptic number.

It is an amenable number.

2022834101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022834101 is an equidigital number, since it uses as much as digits as its factorization.

2022834101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2022834101 is about 44975.9280171071. The cubic root of 2022834101 is about 1264.6977777914.

The spelling of 2022834101 in words is "two billion, twenty-two million, eight hundred thirty-four thousand, one hundred one".