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101021981 is a prime number
BaseRepresentation
bin1100000010101…
…11100100011101
321001002110002212
412001113210131
5201330200411
614005130205
72334446504
oct601274435
9231073085
10101021981
115202a345
12299b9965
1317c10a28
14d5b983b
158d0768b
hex605791d

101021981 has 2 divisors, whose sum is σ = 101021982. Its totient is φ = 101021980.

The previous prime is 101021969. The next prime is 101022059. The reversal of 101021981 is 189120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93508900 + 7513081 = 9670^2 + 2741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101021981 is a prime.

It is a super-2 number, since 2×1010219812 = 20410881290328722, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510990 + 50510991.

It is an arithmetic number, because the mean of its divisors is an integer number (50510991).

Almost surely, 2101021981 is an apocalyptic number.

It is an amenable number.

101021981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021981 is an equidigital number, since it uses as much as digits as its factorization.

101021981 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 23.

The square root of 101021981 is about 10050.9691572505. The cubic root of 101021981 is about 465.7347323978.

The spelling of 101021981 in words is "one hundred one million, twenty-one thousand, nine hundred eighty-one".