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120041233 = 13172811933
BaseRepresentation
bin1110010011110…
…10111100010001
322100212201121121
413021322330101
5221212304413
615524522241
72655222304
oct711727421
9270781547
10120041233
116183a834
1234250381
131bb3c920
1411d2ab3b
15a812b8d
hex727af11

120041233 has 16 divisors (see below), whose sum is σ = 137437776. Its totient is φ = 103864320.

The previous prime is 120041219. The next prime is 120041239. The reversal of 120041233 is 332140021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2166784 + 117874449 = 1472^2 + 10857^2 .

It is a cyclic number.

It is not a de Polignac number, because 120041233 - 213 = 120033041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120041239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61135 + ... + 63067.

It is an arithmetic number, because the mean of its divisors is an integer number (8589861).

Almost surely, 2120041233 is an apocalyptic number.

120041233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120041233 is a deficient number, since it is larger than the sum of its proper divisors (17396543).

120041233 is a wasteful number, since it uses less digits than its factorization.

120041233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 120041233 is about 10956.3330088128. Note that the first 3 decimals coincide. The cubic root of 120041233 is about 493.2989024648.

Adding to 120041233 its reverse (332140021), we get a palindrome (452181254).

The spelling of 120041233 in words is "one hundred twenty million, forty-one thousand, two hundred thirty-three".

Divisors: 1 13 17 221 281 1933 3653 4777 25129 32861 62101 427193 543173 7061249 9233941 120041233