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101761021 is a prime number
BaseRepresentation
bin1100001000010…
…11111111111101
321002110222212201
412010023333331
5202022323041
614033031501
72343645235
oct604137775
9232428781
10101761021
115249461a
122a0b5591
131810c22b
14d72ccc5
158e01631
hex610bffd

101761021 has 2 divisors, whose sum is σ = 101761022. Its totient is φ = 101761020.

The previous prime is 101761019. The next prime is 101761027. The reversal of 101761021 is 120167101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92064025 + 9696996 = 9595^2 + 3114^2 .

It is a cyclic number.

It is not a de Polignac number, because 101761021 - 21 = 101761019 is a prime.

Together with 101761019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101761021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101761027) 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, 50880510 + 50880511.

It is an arithmetic number, because the mean of its divisors is an integer number (50880511).

Almost surely, 2101761021 is an apocalyptic number.

It is an amenable number.

101761021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101761021 is an equidigital number, since it uses as much as digits as its factorization.

101761021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 101761021 is about 10087.6667768122. Note that the first 3 decimals coincide. The cubic root of 101761021 is about 466.8676893015.

The spelling of 101761021 in words is "one hundred one million, seven hundred sixty-one thousand, twenty-one".