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22820101 is a prime number
BaseRepresentation
bin101011100001…
…1010100000101
31120221101021221
41113003110011
521320220401
62133040341
7364652623
oct127032405
946841257
1022820101
1111977097
1277860b1
13495cc25
143060513
15200b7a1
hex15c3505

22820101 has 2 divisors, whose sum is σ = 22820102. Its totient is φ = 22820100.

The previous prime is 22820099. The next prime is 22820111. The reversal of 22820101 is 10102822.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16008001 + 6812100 = 4001^2 + 2610^2 .

It is a cyclic number.

It is not a de Polignac number, because 22820101 - 21 = 22820099 is a prime.

Together with 22820099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22820111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11410050 + 11410051.

It is an arithmetic number, because the mean of its divisors is an integer number (11410051).

Almost surely, 222820101 is an apocalyptic number.

It is an amenable number.

22820101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22820101 is an equidigital number, since it uses as much as digits as its factorization.

22820101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 22820101 is about 4777.0389364124. The cubic root of 22820101 is about 283.6432943108.

Adding to 22820101 its reverse (10102822), we get a palindrome (32922923).

The spelling of 22820101 in words is "twenty-two million, eight hundred twenty thousand, one hundred one".