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210122120113 is a prime number
BaseRepresentation
bin1100001110110001000…
…0010001101110110001
3202002100202211122220221
43003230100101232301
511420312230320423
6240310114133041
721116010360163
oct3035420215661
9662322748827
10210122120113
1181126505924
1234881581181
1316a783c6569
14a254552933
1556ebe05e5d
hex30ec411bb1

210122120113 has 2 divisors, whose sum is σ = 210122120114. Its totient is φ = 210122120112.

The previous prime is 210122120101. The next prime is 210122120267. The reversal of 210122120113 is 311021221012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195025574689 + 15096545424 = 441617^2 + 122868^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122120113 - 25 = 210122120081 is a prime.

It is not a weakly prime, because it can be changed into another prime (210122121113) 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, 105061060056 + 105061060057.

It is an arithmetic number, because the mean of its divisors is an integer number (105061060057).

Almost surely, 2210122120113 is an apocalyptic number.

It is an amenable number.

210122120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122120113 is an equidigital number, since it uses as much as digits as its factorization.

210122120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 210122120113 its reverse (311021221012), we get a palindrome (521143341125).

The spelling of 210122120113 in words is "two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred thirteen".