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11100112110 = 2325233723917
BaseRepresentation
bin10100101011001111…
…00100010011101110
31001122120211010020100
422111213210103232
5140213112041420
65033241531530
7542033252613
oct122547442356
931576733210
1011100112110
1147867a657a
1221994a3ba6
13107b8aa199
147742d050a
1544e767190
hex2959e44ee

11100112110 has 144 divisors (see below), whose sum is σ = 30958907616. Its totient is φ = 2754107136.

The previous prime is 11100112109. The next prime is 11100112117. The reversal of 11100112110 is 1121100111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100112092 and 11100112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100112117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2831872 + ... + 2835788.

It is an arithmetic number, because the mean of its divisors is an integer number (214992414).

Almost surely, 211100112110 is an apocalyptic number.

11100112110 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 11100112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479453808).

11100112110 is an abundant number, since it is smaller than the sum of its proper divisors (19858795506).

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

11100112110 is a wasteful number, since it uses less digits than its factorization.

11100112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11100112110 its reverse (1121100111), we get a palindrome (12221212221).

The spelling of 11100112110 in words is "eleven billion, one hundred million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1369 1665 1702 2070 2553 2738 3330 3917 4107 4255 5106 6845 7659 7834 8214 8510 11751 12321 12765 13690 15318 19585 20535 23502 24642 25530 31487 35253 38295 39170 41070 58755 61605 62974 70506 76590 90091 94461 117510 123210 144929 157435 176265 180182 188922 270273 283383 289858 314870 352530 434787 450455 472305 540546 566766 724645 810819 869574 900910 944610 1304361 1351365 1416915 1449290 1621638 2173935 2608722 2702730 2833830 3333367 4054095 4347870 5362373 6521805 6666734 8108190 10000101 10724746 13043610 16087119 16666835 20000202 26811865 30000303 32174238 33333670 48261357 50000505 53623730 60000606 80435595 96522714 100001010 123334579 150001515 160871190 241306785 246669158 300003030 370003737 482613570 616672895 740007474 1110011211 1233345790 1850018685 2220022422 3700037370 5550056055 11100112110