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1642120212461 is a prime number
BaseRepresentation
bin10111111001010101111…
…111011110111111101101
312210222121011212222012012
4113321111333132333231
5203401030233244321
63254213555051005
7226432161334211
oct27712577367755
95728534788165
101642120212461
11583468060533
122263068a0a65
13bbb0b322491
145969c6c6941
152caae2c705b
hex17e55fdefed

1642120212461 has 2 divisors, whose sum is σ = 1642120212462. Its totient is φ = 1642120212460.

The previous prime is 1642120212449. The next prime is 1642120212479.

1642120212461 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1467233154436 + 174887058025 = 1211294^2 + 418195^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1642120212461 - 234 = 1624940343277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1642120232461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 821060106230 + 821060106231.

It is an arithmetic number, because the mean of its divisors is an integer number (821060106231).

Almost surely, 21642120212461 is an apocalyptic number.

It is an amenable number.

1642120212461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1642120212461 is an equidigital number, since it uses as much as digits as its factorization.

1642120212461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 1642120 and 212461, that added together give a palindrome (1854581).

The spelling of 1642120212461 in words is "one trillion, six hundred forty-two billion, one hundred twenty million, two hundred twelve thousand, four hundred sixty-one".