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1052132511441 = 311192957863527
BaseRepresentation
bin11110100111101111111…
…11000000111011010001
310201120201220221101212010
433103313333000323101
5114214231410331231
62123202031053133
7136004552534214
oct17236777007321
93646656841763
101052132511441
113762304123a0
1214bab10711a9
13782a5a9a54b
1438cd008777b
151c57d446546
hexf4f7fc0ed1

1052132511441 has 32 divisors (see below), whose sum is σ = 1666469606400. Its totient is φ = 583264342080.

The previous prime is 1052132511433. The next prime is 1052132511467. The reversal of 1052132511441 is 1441152312501.

It is not a de Polignac number, because 1052132511441 - 23 = 1052132511433 is a prime.

It is a super-2 number, since 2×10521325114412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052132511399 and 1052132511408.

It is not an unprimeable number, because it can be changed into a prime (1052132511491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28913581 + ... + 28949946.

It is an arithmetic number, because the mean of its divisors is an integer number (52077175200).

Almost surely, 21052132511441 is an apocalyptic number.

1052132511441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1052132511441 is a deficient number, since it is larger than the sum of its proper divisors (614337094959).

1052132511441 is a wasteful number, since it uses less digits than its factorization.

1052132511441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57863589.

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 1052132511441 its reverse (1441152312501), we get a palindrome (2493284823942).

The spelling of 1052132511441 in words is "one trillion, fifty-two billion, one hundred thirty-two million, five hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 11 19 29 33 57 87 209 319 551 627 957 1653 6061 18183 57863527 173590581 636498797 1099407013 1678042283 1909496391 3298221039 5034126849 12093477143 18458465113 31882803377 36280431429 55375395339 95648410131 350710837147 1052132511441