Search a number
-
+
11042033301 = 3213296415077
BaseRepresentation
bin10100100100010100…
…00000111010010101
31001111112112102002100
422102022000322111
5140103230031201
65023405032313
7540426506625
oct122212007225
931445472070
1011042033301
114756a38062
122181b55699
13106c853820
1476a6d2885
154495e3886
hex292280e95

11042033301 has 48 divisors (see below), whose sum is σ = 17800014960. Its totient is φ = 6549258240.

The previous prime is 11042033291. The next prime is 11042033347. The reversal of 11042033301 is 10333024011.

It can be written as a sum of positive squares in 8 ways, for example, as 1365376401 + 9676656900 = 36951^2 + 98370^2 .

It is not a de Polignac number, because 11042033301 - 219 = 11041509013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042033381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2172375 + ... + 2177451.

It is an arithmetic number, because the mean of its divisors is an integer number (370833645).

Almost surely, 211042033301 is an apocalyptic number.

It is an amenable number.

11042033301 is a deficient number, since it is larger than the sum of its proper divisors (6757981659).

11042033301 is a wasteful number, since it uses less digits than its factorization.

11042033301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11042033301 its reverse (10333024011), we get a palindrome (21375057312).

The spelling of 11042033301 in words is "eleven billion, forty-two million, thirty-three thousand, three hundred one".

Divisors: 1 3 9 13 29 39 87 117 261 377 641 1131 1923 3393 5077 5769 8333 15231 18589 24999 45693 55767 66001 74997 147233 167301 198003 241657 441699 594009 724971 1325097 1914029 2174913 3254357 5742087 9763071 17226261 29289213 42306641 94376353 126919923 283129059 380759769 849387177 1226892589 3680677767 11042033301