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105552053041 is a prime number
BaseRepresentation
bin110001001001101100…
…1001000001100110001
3101002110002210212012211
41202103121020030301
53212132311144131
6120253454452121
710424451435031
oct1422331101461
9332402725184
10105552053041
1140845422796
1218559204041
139c51b4a126
1451745878c1
152b2b88c5b1
hex1893648331

105552053041 has 2 divisors, whose sum is σ = 105552053042. Its totient is φ = 105552053040.

The previous prime is 105552053039. The next prime is 105552053093. The reversal of 105552053041 is 140350255501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101063589025 + 4488464016 = 317905^2 + 66996^2 .

It is an emirp because it is prime and its reverse (140350255501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105552053041 - 21 = 105552053039 is a prime.

It is a super-2 number, since 2×1055520530412 (a number of 23 digits) contains 22 as substring.

Together with 105552053039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105552052994 and 105552053012.

It is not a weakly prime, because it can be changed into another prime (105552053441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52776026520 + 52776026521.

It is an arithmetic number, because the mean of its divisors is an integer number (52776026521).

Almost surely, 2105552053041 is an apocalyptic number.

It is an amenable number.

105552053041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105552053041 is an equidigital number, since it uses as much as digits as its factorization.

105552053041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 105552053041 in words is "one hundred five billion, five hundred fifty-two million, fifty-three thousand, forty-one".