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220011212129 is a prime number
BaseRepresentation
bin1100110011100110110…
…0001010110101100001
3210000212221220120220012
43030321230022311201
512101040332242004
6245023255454305
721616040306222
oct3147154126541
9700787816805
10220011212129
1185340659045
1236781387395
13179931212b7
14a911a85249
155aca1a746e
hex3339b0ad61

220011212129 has 2 divisors, whose sum is σ = 220011212130. Its totient is φ = 220011212128.

The previous prime is 220011212111. The next prime is 220011212147. The reversal of 220011212129 is 921212110022.

220011212129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (220011212111) and next prime (220011212147).

It can be written as a sum of positive squares in only one way, i.e., 201400795729 + 18610416400 = 448777^2 + 136420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220011212129 is a prime.

It is not a weakly prime, because it can be changed into another prime (220011212159) 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, 110005606064 + 110005606065.

It is an arithmetic number, because the mean of its divisors is an integer number (110005606065).

Almost surely, 2220011212129 is an apocalyptic number.

It is an amenable number.

220011212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

220011212129 is an equidigital number, since it uses as much as digits as its factorization.

220011212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 220011212129 in words is "two hundred twenty billion, eleven million, two hundred twelve thousand, one hundred twenty-nine".