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11441132120 = 2351143604711
BaseRepresentation
bin10101010011111000…
…11101001001011000
31002112100111201202002
422221330131021120
5141412412211440
65131143100132
7553344006215
oct125174351130
932470451662
1011441132120
1149412479a0
122273741648
13110443ab82
147a7700b0c
1546e67a115
hex2a9f1d258

11441132120 has 64 divisors (see below), whose sum is σ = 28735914240. Its totient is φ = 4063651200.

The previous prime is 11441132111. The next prime is 11441132179. The reversal of 11441132120 is 2123114411.

11441132120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11441132092 and 11441132101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 283436 + ... + 321275.

It is an arithmetic number, because the mean of its divisors is an integer number (448998660).

Almost surely, 211441132120 is an apocalyptic number.

11441132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441132120 is an abundant number, since it is smaller than the sum of its proper divisors (17294782120).

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

11441132120 is a wasteful number, since it uses less digits than its factorization.

11441132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604776 (or 604772 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11441132120 its reverse (2123114411), we get a palindrome (13564246531).

The spelling of 11441132120 in words is "eleven billion, four hundred forty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 604711 1209422 2418844 3023555 4837688 6047110 6651821 12094220 13303642 24188440 26002573 26607284 33259105 52005146 53214568 66518210 104010292 130012865 133036420 208020584 260025730 266072840 286028303 520051460 572056606 1040102920 1144113212 1430141515 2288226424 2860283030 5720566060 11441132120