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11134134136225 = 524143972
BaseRepresentation
bin1010001000000101111000…
…0111000010110110100001
31110102102010221200210200201
42202001132013002312201
52424410201314324400
635402541155345201
72226262136423062
oct242013607026641
943372127623621
1011134134136225
113602a614a9851
1212b9a52bb2201
13629c37953629
142a6c75b10569
1514495743c06a
hexa205e1c2da1

11134134136225 has 45 divisors (see below), whose sum is σ = 14187220209885. Its totient is φ = 8668166601600.

The previous prime is 11134134136217. The next prime is 11134134136249. The reversal of 11134134136225 is 52263143143111.

It is a happy number.

The square root of 11134134136225 is 3336785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 2323115527329 + 8811018608896 = 1524177^2 + 2968336^2 .

It is not a de Polignac number, because 11134134136225 - 23 = 11134134136217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28045677727 + ... + 28045678123.

Almost surely, 211134134136225 is an apocalyptic number.

11134134136225 is the 3336785-th square number.

11134134136225 is the 1668393-rd centered octagonal number.

It is an amenable number.

11134134136225 is a deficient number, since it is larger than the sum of its proper divisors (3053086073660).

11134134136225 is an frugal number, since it uses more digits than its factorization.

11134134136225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 443 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

Adding to 11134134136225 its reverse (52263143143111), we get a palindrome (63397277279336).

The spelling of 11134134136225 in words is "eleven trillion, one hundred thirty-four billion, one hundred thirty-four million, one hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 397 1025 1681 1985 8405 9925 16277 42025 68921 81385 157609 344605 406925 667357 788045 1723025 2825761 3336785 3940225 6461969 14128805 16683925 27361637 32309845 70644025 136808185 161549225 264940729 684040925 1121827117 1324703645 5609135585 6623518225 10862569889 28045677925 54312849445 271564247225 445365365449 2226826827245 11134134136225