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11010440112 = 24371913712589
BaseRepresentation
bin10100100000100010…
…11111101110110000
31001102100002022101020
422100101133232300
5140022133040422
65020315535440
7536564124330
oct122021375660
931370068336
1011010440112
114740119691
12217345a580
131066141629
1476642b0c0
1544695295c
hex29045fbb0

11010440112 has 160 divisors (see below), whose sum is σ = 34470412800. Its totient is φ = 2958280704.

The previous prime is 11010440081. The next prime is 11010440113. The reversal of 11010440112 is 21104401011.

It is a junction number, because it is equal to n+sod(n) for n = 11010440091 and 11010440100.

It is not an unprimeable number, because it can be changed into a prime (11010440113) 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, 868314 + ... + 880902.

It is an arithmetic number, because the mean of its divisors is an integer number (215440080).

Almost surely, 211010440112 is an apocalyptic number.

11010440112 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 11010440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235206400).

11010440112 is an abundant number, since it is smaller than the sum of its proper divisors (23459972688).

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

11010440112 is a wasteful number, since it uses less digits than its factorization.

11010440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11010440112 its reverse (21104401011), we get a palindrome (32114841123).

The spelling of 11010440112 in words is "eleven billion, ten million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 137 152 168 228 266 274 304 336 399 411 456 532 548 798 822 912 959 1064 1096 1596 1644 1918 2128 2192 2603 2877 3192 3288 3836 5206 5754 6384 6576 7672 7809 10412 11508 12589 15344 15618 18221 20824 23016 25178 31236 36442 37767 41648 46032 50356 54663 62472 72884 75534 88123 100712 109326 124944 145768 151068 176246 201424 218652 239191 264369 291536 302136 352492 437304 478382 528738 604272 704984 717573 874608 956764 1057476 1409968 1435146 1674337 1724693 1913528 2114952 2870292 3348674 3449386 3827056 4229904 5023011 5174079 5740584 6697348 6898772 10046022 10348158 11481168 12072851 13394696 13797544 20092044 20696316 24145702 26789392 27595088 32769167 36218553 40184088 41392632 48291404 65538334 72437106 80368176 82785264 96582808 98307501 131076668 144874212 193165616 196615002 229384169 262153336 289748424 393230004 458768338 524306672 579496848 688152507 786460008 917536676 1376305014 1572920016 1835073352 2752610028 3670146704 5505220056 11010440112