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11201002192 = 2453109121181
BaseRepresentation
bin10100110111010000…
…11011101011010000
31001220121122212102001
422123220123223100
5140414424032232
65051244203344
7544366643032
oct123350335320
931817585361
1011201002192
114828745806
122207239554
131096772b63
14783873c52
154585456e7
hex29ba1bad0

11201002192 has 40 divisors (see below), whose sum is σ = 22314453480. Its totient is φ = 5444375040.

The previous prime is 11201002171. The next prime is 11201002199. The reversal of 11201002192 is 29120010211.

It is a happy number.

11201002192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5748065856 + 5452936336 = 75816^2 + 73844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201002199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31842 + ... + 153022.

It is an arithmetic number, because the mean of its divisors is an integer number (557861337).

Almost surely, 211201002192 is an apocalyptic number.

It is an amenable number.

11201002192 is a deficient number, since it is larger than the sum of its proper divisors (11113451288).

11201002192 is a wasteful number, since it uses less digits than its factorization.

11201002192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121351 (or 121345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 11201002192 in words is "eleven billion, two hundred one million, two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 53 106 109 212 218 424 436 848 872 1744 5777 11554 23108 46216 92432 121181 242362 484724 969448 1938896 6422593 12845186 13208729 25690372 26417458 51380744 52834916 102761488 105669832 211339664 700062637 1400125274 2800250548 5600501096 11201002192