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220201121249 is a prime number
BaseRepresentation
bin1100110100010100000…
…0100111010111100001
3210001101012020222020022
43031011000213113201
512101432441334444
6245054202123225
721623534435144
oct3150500472741
9701335228208
10220201121249
118542887962a
1236814ab0515
13179c3584565
14a92cd9c05b
155adbbbb9ee
hex33450275e1

220201121249 has 2 divisors, whose sum is σ = 220201121250. Its totient is φ = 220201121248.

The previous prime is 220201121209. The next prime is 220201121269. The reversal of 220201121249 is 942121102022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115833357649 + 104367763600 = 340343^2 + 323060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220201121249 is a prime.

It is not a weakly prime, because it can be changed into another prime (220201121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110100560624 + 110100560625.

It is an arithmetic number, because the mean of its divisors is an integer number (110100560625).

Almost surely, 2220201121249 is an apocalyptic number.

It is an amenable number.

220201121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

220201121249 is an equidigital number, since it uses as much as digits as its factorization.

220201121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 220201121249 in words is "two hundred twenty billion, two hundred one million, one hundred twenty-one thousand, two hundred forty-nine".