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105342601633 is a prime number
BaseRepresentation
bin110001000011011101…
…0001000100110100001
3101001220111200121220021
41202012322020212201
53211220201223013
6120221013313441
710416326224363
oct1420672104641
9331814617807
10105342601633
1140748174855
12184bb035881
139c1a633b99
145154824d33
152b182b7a8d
hex1886e889a1

105342601633 has 2 divisors, whose sum is σ = 105342601634. Its totient is φ = 105342601632.

The previous prime is 105342601613. The next prime is 105342601699. The reversal of 105342601633 is 336106243501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98474833249 + 6867768384 = 313807^2 + 82872^2 .

It is a cyclic number.

It is not a de Polignac number, because 105342601633 - 29 = 105342601121 is a prime.

It is a super-2 number, since 2×1053426016332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105342601613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52671300816 + 52671300817.

It is an arithmetic number, because the mean of its divisors is an integer number (52671300817).

Almost surely, 2105342601633 is an apocalyptic number.

It is an amenable number.

105342601633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105342601633 is an equidigital number, since it uses as much as digits as its factorization.

105342601633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 105342601633 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, six hundred thirty-three".