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1820506141 is a prime number
BaseRepresentation
bin110110010000010…
…1011100000011101
311200212121021221101
41230200223200131
512212022144031
6500351433101
763054022036
oct15440534035
94625537841
101820506141
118546a0233
12429825791
1323021c98c
14133ad3a8d
15a9c59361
hex6c82b81d

1820506141 has 2 divisors, whose sum is σ = 1820506142. Its totient is φ = 1820506140.

The previous prime is 1820506139. The next prime is 1820506157. The reversal of 1820506141 is 1416050281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1785400516 + 35105625 = 42254^2 + 5925^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820506141 - 21 = 1820506139 is a prime.

Together with 1820506139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1820506841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910253070 + 910253071.

It is an arithmetic number, because the mean of its divisors is an integer number (910253071).

Almost surely, 21820506141 is an apocalyptic number.

It is an amenable number.

1820506141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820506141 is an equidigital number, since it uses as much as digits as its factorization.

1820506141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1820506141 is about 42667.3896670513. The cubic root of 1820506141 is about 1221.0423191652.

It can be divided in two parts, 182050 and 6141, that added together give a triangular number (188191 = T613).

The spelling of 1820506141 in words is "one billion, eight hundred twenty million, five hundred six thousand, one hundred forty-one".