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11140200241 = 374117094297
BaseRepresentation
bin10100110000000000…
…11111011100110001
31001202101020210210221
422120000133130301
5140303342401431
65041233053041
7543031065622
oct123000373461
931671223727
1011140200241
1147a7397365
1221aa9b7181
131086ca4b81
14779767a49
15453035111
hex29801f731

11140200241 has 16 divisors (see below), whose sum is σ = 11729929680. Its totient is φ = 10566097920.

The previous prime is 11140200229. The next prime is 11140200257. The reversal of 11140200241 is 14200204111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 462078016 + 10678122225 = 21496^2 + 103335^2 .

It is a cyclic number.

It is not a de Polignac number, because 11140200241 - 25 = 11140200209 is a prime.

It is a super-2 number, since 2×111402002412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11140200271) 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, 2590405 + ... + 2594701.

It is an arithmetic number, because the mean of its divisors is an integer number (733120605).

Almost surely, 211140200241 is an apocalyptic number.

It is an amenable number.

11140200241 is a deficient number, since it is larger than the sum of its proper divisors (589729439).

11140200241 is a wasteful number, since it uses less digits than its factorization.

11140200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11140200241 its reverse (14200204111), we get a palindrome (25340404352).

The spelling of 11140200241 in words is "eleven billion, one hundred forty million, two hundred thousand, two hundred forty-one".

Divisors: 1 37 41 1517 1709 4297 63233 70069 158989 176177 2592553 6518549 7343573 271712201 301086493 11140200241