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1042114120 = 235109239017
BaseRepresentation
bin111110000111010…
…110011001001000
32200121220212211021
4332013112121020
54113240122440
6251224042224
734552552405
oct7607263110
92617825737
101042114120
11495278843
12251003374
13137b94098
149c5912ac
156174e84a
hex3e1d6648

1042114120 has 32 divisors (see below), whose sum is σ = 2366278200. Its totient is φ = 413019648.

The previous prime is 1042114091. The next prime is 1042114123. The reversal of 1042114120 is 214112401.

It is a happy number.

1042114120 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 1029254724 + 12859396 = 32082^2 + 3586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1042114094 and 1042114103.

It is not an unprimeable number, because it can be changed into a prime (1042114123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115149 + ... + 123868.

Almost surely, 21042114120 is an apocalyptic number.

1042114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042114120 is an abundant number, since it is smaller than the sum of its proper divisors (1324164080).

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

1042114120 is a wasteful number, since it uses less digits than its factorization.

1042114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239137 (or 239133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1042114120 is about 32281.7923913775. The cubic root of 1042114120 is about 1013.8454585674.

Adding to 1042114120 its reverse (214112401), we get a palindrome (1256226521).

The spelling of 1042114120 in words is "one billion, forty-two million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 239017 478034 956068 1195085 1912136 2390170 4780340 9560680 26052853 52105706 104211412 130264265 208422824 260528530 521057060 1042114120