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122033221 is a prime number
BaseRepresentation
bin1110100011000…
…01010001000101
322111121221002221
413101201101011
5222220030341
620035332341
73011156662
oct721412105
9274557087
10122033221
1162980402
1234a510b1
131c38950b
14122c8a69
15aaa7ed1
hex7461445

122033221 has 2 divisors, whose sum is σ = 122033222. Its totient is φ = 122033220.

The previous prime is 122033209. The next prime is 122033231. The reversal of 122033221 is 122330221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101909025 + 20124196 = 10095^2 + 4486^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122033221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122033195 and 122033204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122033201) 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, 61016610 + 61016611.

It is an arithmetic number, because the mean of its divisors is an integer number (61016611).

Almost surely, 2122033221 is an apocalyptic number.

It is an amenable number.

122033221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033221 is an equidigital number, since it uses as much as digits as its factorization.

122033221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122033221 is about 11046.8647588354. The cubic root of 122033221 is about 496.0125801635.

Adding to 122033221 its reverse (122330221), we get a palindrome (244363442).

The spelling of 122033221 in words is "one hundred twenty-two million, thirty-three thousand, two hundred twenty-one".