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2054111120 = 245197130337
BaseRepresentation
bin111101001101111…
…0011111110010000
312022011011122201122
41322123303332100
513201323023440
6535454421412
7101621441105
oct17233637620
95264148648
102054111120
119645460a6
12493b01868
13269741a89
14156b42aac
15c05007b5
hex7a6f3f90

2054111120 has 40 divisors (see below), whose sum is σ = 4800087864. Its totient is φ = 817467392.

The previous prime is 2054111063. The next prime is 2054111123. The reversal of 2054111120 is 211114502.

It can be written as a sum of positive squares in 4 ways, for example, as 1500167824 + 553943296 = 38732^2 + 23536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2054111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49409 + ... + 80928.

Almost surely, 22054111120 is an apocalyptic number.

2054111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054111120 is an abundant number, since it is smaller than the sum of its proper divisors (2745976744).

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

2054111120 is a wasteful number, since it uses less digits than its factorization.

2054111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130547 (or 130541 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2054111120 is about 45322.3026776001. The cubic root of 2054111120 is about 1271.1827120689.

Adding to 2054111120 its reverse (211114502), we get a palindrome (2265225622).

The spelling of 2054111120 in words is "two billion, fifty-four million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 3152 3940 7880 15760 130337 260674 521348 651685 1042696 1303370 2085392 2606740 5213480 10426960 25676389 51352778 102705556 128381945 205411112 256763890 410822224 513527780 1027055560 2054111120