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11352141153 = 321774197001
BaseRepresentation
bin10101001001010001…
…11110110101100001
31002022011001112002100
422210220332311201
5141222122004103
65114243441013
7551213415303
oct124450766541
932264045070
1011352141153
1148a5a95741
122249986169
1310bbb802b2
14799977973
1546694c5a3
hex2a4a3ed61

11352141153 has 12 divisors (see below), whose sum is σ = 17362098468. Its totient is φ = 7122912000.

The previous prime is 11352141103. The next prime is 11352141173. The reversal of 11352141153 is 35114125311.

11352141153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8111343969 + 3240797184 = 90063^2 + 56928^2 .

It is not a de Polignac number, because 11352141153 - 28 = 11352140897 is a prime.

It is a super-2 number, since 2×113521411532 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11352141103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37098348 + ... + 37098653.

It is an arithmetic number, because the mean of its divisors is an integer number (1446841539).

Almost surely, 211352141153 is an apocalyptic number.

It is an amenable number.

11352141153 is a deficient number, since it is larger than the sum of its proper divisors (6009957315).

11352141153 is a wasteful number, since it uses less digits than its factorization.

11352141153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74197024 (or 74197021 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 11352141153 its reverse (35114125311), we get a palindrome (46466266464).

The spelling of 11352141153 in words is "eleven billion, three hundred fifty-two million, one hundred forty-one thousand, one hundred fifty-three".

Divisors: 1 3 9 17 51 153 74197001 222591003 667773009 1261349017 3784047051 11352141153