Search a number
-
+
11242042032 = 2431312721117
BaseRepresentation
bin10100111100001001…
…11111001010110000
31002000110212220111010
422132010333022300
5141010430321112
65055311550520
7545405531514
oct123604771260
932013786433
1011242042032
114849926631
122218b2b440
1310a2111aa0
147890b8144
1545be5063c
hex29e13f2b0

11242042032 has 120 divisors (see below), whose sum is σ = 31552365936. Its totient is φ = 3428780544.

The previous prime is 11242042003. The next prime is 11242042033. The reversal of 11242042032 is 23024024211.

11242042032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11242042033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10063938 + ... + 10065054.

Almost surely, 211242042032 is an apocalyptic number.

11242042032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776182968).

11242042032 is an abundant number, since it is smaller than the sum of its proper divisors (20310323904).

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

11242042032 is a wasteful number, since it uses less digits than its factorization.

11242042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11242042032 its reverse (23024024211), we get a palindrome (34266066243).

The spelling of 11242042032 in words is "eleven billion, two hundred forty-two million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1117 1524 1651 2032 2234 3048 3302 3351 4468 4953 6096 6604 6702 8936 9906 13208 13404 14521 16129 17872 19812 26416 26808 29042 32258 39624 43563 48387 53616 58084 64516 79248 87126 96774 116168 129032 141859 174252 193548 209677 232336 258064 283718 348504 387096 419354 425577 567436 629031 697008 774192 838708 851154 1134872 1258062 1677416 1702308 1844167 2269744 2516124 3354832 3404616 3688334 5032248 5532501 6809232 7376668 10064496 11065002 14753336 18016093 22130004 29506672 36032186 44260008 54048279 72064372 88520016 108096558 144128744 216193116 234209209 288257488 432386232 468418418 702627627 864772464 936836836 1405255254 1873673672 2810510508 3747347344 5621021016 11242042032