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213201120029 is a prime number
BaseRepresentation
bin1100011010001111000…
…1101110101100011101
3202101022100112001202212
43012203301232230131
511443113441320104
6241535423530205
721255215422262
oct3064361565435
9671270461685
10213201120029
1182466524057
12353a0759965
131714927abc1
14a467441269
15582c3a236e
hex31a3c6eb1d

213201120029 has 2 divisors, whose sum is σ = 213201120030. Its totient is φ = 213201120028.

The previous prime is 213201119987. The next prime is 213201120047. The reversal of 213201120029 is 920021102312.

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., 130536244804 + 82664875225 = 361298^2 + 287515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213201120029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213201119986 and 213201120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213201120049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600560014 + 106600560015.

It is an arithmetic number, because the mean of its divisors is an integer number (106600560015).

Almost surely, 2213201120029 is an apocalyptic number.

It is an amenable number.

213201120029 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201120029 is an equidigital number, since it uses as much as digits as its factorization.

213201120029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 213201120029 in words is "two hundred thirteen billion, two hundred one million, one hundred twenty thousand, twenty-nine".