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1007020141 is a prime number
BaseRepresentation
bin111100000001011…
…110100001101101
32121011212220221021
4330001132201231
54030244121031
6243531534141
733645346531
oct7401364155
92534786837
101007020141
11477489156
122412ba351
1313082760a
1497a57bc1
155d61b511
hex3c05e86d

1007020141 has 2 divisors, whose sum is σ = 1007020142. Its totient is φ = 1007020140.

The previous prime is 1007020129. The next prime is 1007020163. The reversal of 1007020141 is 1410207001.

1007020141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 897901225 + 109118916 = 29965^2 + 10446^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007020141 - 223 = 998631533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007020171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503510070 + 503510071.

It is an arithmetic number, because the mean of its divisors is an integer number (503510071).

Almost surely, 21007020141 is an apocalyptic number.

It is an amenable number.

1007020141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007020141 is an equidigital number, since it uses as much as digits as its factorization.

1007020141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1007020141 is about 31733.5806520474. The cubic root of 1007020141 is about 1002.3345924367.

Adding to 1007020141 its reverse (1410207001), we get a palindrome (2417227142).

It can be divided in two parts, 10070 and 20141, that multiplied together give a triangular number (202819870 = T20140).

The spelling of 1007020141 in words is "one billion, seven million, twenty thousand, one hundred forty-one".