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11110103130 = 23571912372251
BaseRepresentation
bin10100101100011011…
…01011100001011010
31001200021121201100010
422112031223201122
5140223141300010
65034240022350
7542214214140
oct122615534132
931607551303
1011110103130
1147913aaa15
1221a09019b6
131080997929
14775771590
1545058c620
hex29636b85a

11110103130 has 128 divisors (see below), whose sum is σ = 32117483520. Its totient is φ = 2402784000.

The previous prime is 11110103117. The next prime is 11110103141. The reversal of 11110103130 is 3130101111.

11110103130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4934505 + ... + 4936755.

It is an arithmetic number, because the mean of its divisors is an integer number (250917840).

Almost surely, 211110103130 is an apocalyptic number.

11110103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058741760).

11110103130 is an abundant number, since it is smaller than the sum of its proper divisors (21007380390).

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

11110103130 is a wasteful number, since it uses less digits than its factorization.

11110103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11110103130 its reverse (3130101111), we get a palindrome (14240204241).

The spelling of 11110103130 in words is "eleven billion, one hundred ten million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1237 1330 1995 2251 2474 3711 3990 4502 6185 6753 7422 8659 11255 12370 13506 15757 17318 18555 22510 23503 25977 31514 33765 37110 42769 43295 47006 47271 51954 67530 70509 78785 85538 86590 94542 117515 128307 129885 141018 157570 164521 213845 235030 236355 256614 259770 299383 329042 352545 427690 472710 493563 598766 641535 705090 822605 898149 987126 1283070 1496915 1645210 1796298 2467815 2784487 2993830 4490745 4935630 5568974 8353461 8981490 13922435 16706922 19491409 27844870 38982818 41767305 52905253 58474227 83534610 97457045 105810506 116948454 158715759 194914090 264526265 292371135 317431518 370336771 529052530 584742270 740673542 793578795 1111010313 1587157590 1851683855 2222020626 3703367710 5555051565 11110103130