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11110131120 = 2435117159273
BaseRepresentation
bin10100101100011011…
…10010010110110000
31001200021200010201210
422112031302112300
5140223143143440
65034240400120
7542214361554
oct122615622660
931607603653
1011110131120
114791419a50
1221a0916040
1310809a75aa
1477577b864
15450595a80
hex2963725b0

11110131120 has 160 divisors (see below), whose sum is σ = 38102275584. Its totient is φ = 2655385600.

The previous prime is 11110131119. The next prime is 11110131127. The reversal of 11110131120 is 2113101111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11110131096 and 11110131105.

It is not an unprimeable number, because it can be changed into a prime (11110131127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157804 + ... + 217076.

Almost surely, 211110131120 is an apocalyptic number.

11110131120 is a gapful number since it is divisible by the number (10) 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 11110131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051137792).

11110131120 is an abundant number, since it is smaller than the sum of its proper divisors (26992144464).

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

11110131120 is a wasteful number, since it uses less digits than its factorization.

11110131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59371 (or 59365 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11110131120 its reverse (2113101111), we get a palindrome (13223232231).

The spelling of 11110131120 in words is "eleven billion, one hundred ten million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1320 1420 1562 1704 2130 2343 2640 2840 3124 3408 3905 4260 4686 5680 6248 7810 8520 9372 11715 12496 15620 17040 18744 23430 31240 37488 46860 59273 62480 93720 118546 177819 187440 237092 296365 355638 474184 592730 652003 711276 889095 948368 1185460 1304006 1422552 1778190 1956009 2370920 2608012 2845104 3260015 3556380 3912018 4208383 4741840 5216024 6520030 7112760 7824036 8416766 9780045 10432048 12625149 13040060 14225520 15648072 16833532 19560090 21041915 25250298 26080120 31296144 33667064 39120180 42083830 46292213 50500596 52160240 63125745 67334128 78240360 84167660 92584426 101001192 126251490 138876639 156480720 168335320 185168852 202002384 231461065 252502980 277753278 336670640 370337704 462922130 505005960 555506556 694383195 740675408 925844260 1010011920 1111013112 1388766390 1851688520 2222026224 2777532780 3703377040 5555065560 11110131120