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11135253105 = 325298532761
BaseRepresentation
bin10100101111011011…
…00111101001110001
31001202000221110121200
422113231213221301
5140301111044410
65040535041413
7542641042524
oct122755475161
931660843550
1011135253105
1147a4618519
1221a9210269
131085c62182
14778c3abbb
154528a93c0
hex297b67a71

11135253105 has 24 divisors (see below), whose sum is σ = 19966663080. Its totient is φ = 5734014720.

The previous prime is 11135253091. The next prime is 11135253133. The reversal of 11135253105 is 50135253111.

It can be written as a sum of positive squares in 4 ways, for example, as 32626944 + 11102626161 = 5712^2 + 105369^2 .

It is not a de Polignac number, because 11135253105 - 24 = 11135253089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4265076 + ... + 4267685.

It is an arithmetic number, because the mean of its divisors is an integer number (831944295).

Almost surely, 211135253105 is an apocalyptic number.

11135253105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11135253105 is a deficient number, since it is larger than the sum of its proper divisors (8831409975).

11135253105 is a wasteful number, since it uses less digits than its factorization.

11135253105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532801 (or 8532798 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 11135253105 in words is "eleven billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 8532761 25598283 42663805 76794849 127991415 247450069 383974245 742350207 1237250345 2227050621 3711751035 11135253105