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11141221365 = 3251493165829
BaseRepresentation
bin10100110000001000…
…11000101111110101
31001202110011200112100
422120010120233311
5140304123040430
65041311012313
7543042550641
oct123004305765
931673150470
1011141221365
1147a7a2456a
1221ab20a099
1310872718a1
14779951c21
15453187960
hex298118bf5

11141221365 has 24 divisors (see below), whose sum is σ = 19324501560. Its totient is φ = 5937969024.

The previous prime is 11141221339. The next prime is 11141221369. The reversal of 11141221365 is 56312214111.

11141221365 is a `hidden beast` number, since 111 + 412 + 2 + 136 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5339809476 + 5801411889 = 73074^2 + 76167^2 .

It is not a de Polignac number, because 11141221365 - 210 = 11141220341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141221369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15730 + ... + 150099.

It is an arithmetic number, because the mean of its divisors is an integer number (805187565).

Almost surely, 211141221365 is an apocalyptic number.

11141221365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11141221365 is a deficient number, since it is larger than the sum of its proper divisors (8183280195).

11141221365 is a wasteful number, since it uses less digits than its factorization.

11141221365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167333 (or 167330 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 11141221365 its reverse (56312214111), we get a palindrome (67453435476).

The spelling of 11141221365 in words is "eleven billion, one hundred forty-one million, two hundred twenty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 1493 4479 7465 13437 22395 67185 165829 497487 829145 1492461 2487435 7462305 247582697 742748091 1237913485 2228244273 3713740455 11141221365