Search a number
-
+
11160302112 = 253238751049
BaseRepresentation
bin10100110010011010…
…01011001000100000
31001210210002002101200
422121031023020200
5140324014131422
65043232001200
7543364000641
oct123115131040
931723062350
1011160302112
114807777183
1221b5690200
13108b1c277b
1477c2bb6c8
15454ba62ac
hex29934b220

11160302112 has 36 divisors (see below), whose sum is σ = 31737109950. Its totient is φ = 3720100608.

The previous prime is 11160302071. The next prime is 11160302147. The reversal of 11160302112 is 21120306111.

It can be written as a sum of positive squares in only one way, i.e., 10143712656 + 1016589456 = 100716^2 + 31884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×111603021122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19375237 + ... + 19375812.

Almost surely, 211160302112 is an apocalyptic number.

11160302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11160302112 is an abundant number, since it is smaller than the sum of its proper divisors (20576807838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11160302112 is a wasteful number, since it uses less digits than its factorization.

11160302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38751065 (or 38751054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11160302112 its reverse (21120306111), we get a palindrome (32280608223).

The spelling of 11160302112 in words is "eleven billion, one hundred sixty million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38751049 77502098 116253147 155004196 232506294 310008392 348759441 465012588 620016784 697518882 930025176 1240033568 1395037764 1860050352 2790075528 3720100704 5580151056 11160302112