Search a number
-
+
1053523335113 = 17821111767577
BaseRepresentation
bin11110101010010101110…
…00100101011111001001
310201201022212000120020222
433111022320211133021
5114230103433210423
62123552033155425
7136054201410554
oct17251270453711
93651285016228
101053523335113
11376884503847
1215021a9bbb75
1378467c85332
1438dc2a8b69b
151c6105c73c8
hexf54ae257c9

1053523335113 has 16 divisors (see below), whose sum is σ = 1117870410384. Its totient is φ = 989442385920.

The previous prime is 1053523335107. The next prime is 1053523335119. The reversal of 1053523335113 is 3115333253501.

It is an interprime number because it is at equal distance from previous prime (1053523335107) and next prime (1053523335119).

It can be written as a sum of positive squares in 8 ways, for example, as 90088821904 + 963434513209 = 300148^2 + 981547^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053523335113 - 218 = 1053523072969 is a prime.

It is a super-2 number, since 2×10535233351132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053523335119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15556181 + ... + 15623757.

It is an arithmetic number, because the mean of its divisors is an integer number (69866900649).

Almost surely, 21053523335113 is an apocalyptic number.

It is an amenable number.

1053523335113 is a deficient number, since it is larger than the sum of its proper divisors (64347075271).

1053523335113 is a wasteful number, since it uses less digits than its factorization.

1053523335113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69532.

The product of its (nonzero) digits is 60750, while the sum is 35.

Adding to 1053523335113 its reverse (3115333253501), we get a palindrome (4168856588614).

The spelling of 1053523335113 in words is "one trillion, fifty-three billion, five hundred twenty-three million, three hundred thirty-five thousand, one hundred thirteen".

Divisors: 1 17 821 1117 13957 18989 67577 917057 1148809 15589969 55480717 75483509 943172189 1283219653 61971960889 1053523335113