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11238203124 = 22321727314797
BaseRepresentation
bin10100111011101100…
…10101111011110100
31002000012122212111100
422131312111323310
5141003434444444
65055053410100
7545331102411
oct123566257364
932005585440
1011238203124
114847744385
122217799930
1310a1399645
14788799108
1545b942e69
hex29dd95ef4

11238203124 has 108 divisors (see below), whose sum is σ = 30592467724. Its totient is φ = 3477178368.

The previous prime is 11238203101. The next prime is 11238203131. The reversal of 11238203124 is 42130283211.

It can be written as a sum of positive squares in 6 ways, for example, as 754491024 + 10483712100 = 27468^2 + 102390^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 752094 + ... + 766890.

Almost surely, 211238203124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11238203124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296233862).

11238203124 is an abundant number, since it is smaller than the sum of its proper divisors (19354264600).

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

11238203124 is a wasteful number, since it uses less digits than its factorization.

11238203124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11238203124 its reverse (42130283211), we get a palindrome (53368486335).

The spelling of 11238203124 in words is "eleven billion, two hundred thirty-eight million, two hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 289 292 306 438 578 612 657 867 876 1156 1241 1314 1734 2482 2601 2628 3468 3723 4964 5202 7446 10404 11169 14797 14892 21097 22338 29594 42194 44391 44676 59188 63291 84388 88782 126582 133173 177564 189873 251549 253164 266346 379746 503098 532692 754647 759492 1006196 1080181 1509294 2160362 2263941 3018588 3240543 4276333 4320724 4527882 6481086 8552666 9055764 9721629 12828999 12962172 17105332 18363077 19443258 25657998 36726154 38486997 38886516 51315996 55089231 73452308 76973994 110178462 153947988 165267693 220356924 312172309 330535386 624344618 661070772 936516927 1248689236 1873033854 2809550781 3746067708 5619101562 11238203124