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11110110001122 = 23111929617495151
BaseRepresentation
bin1010000110101100011000…
…1010001111011111100010
31110100010010200001021212010
42201223012022033133202
52424012001130013442
635343525235013350
72224451611561626
oct241530612173742
943303120037763
1011110110001122
1135a3853501540
1212b526943a256
136278a9656982
142a5a371d1186
15143eed27eb9c
hexa1ac628f7e2

11110110001122 has 128 divisors (see below), whose sum is σ = 26438740070400. Its totient is φ = 3074524992000.

The previous prime is 11110110001087. The next prime is 11110110001129. The reversal of 11110110001122 is 22110001101111.

11110110001122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11110110001098 and 11110110001107.

It is not an unprimeable number, because it can be changed into a prime (11110110001129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22190247 + ... + 22685397.

It is an arithmetic number, because the mean of its divisors is an integer number (206552656800).

Almost surely, 211110110001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110110001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219370035200).

11110110001122 is an abundant number, since it is smaller than the sum of its proper divisors (15328630069278).

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

11110110001122 is a wasteful number, since it uses less digits than its factorization.

11110110001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495832.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11110110001122 its reverse (22110001101111), we get a palindrome (33220111102233).

The spelling of 11110110001122 in words is "eleven trillion, one hundred ten billion, one hundred ten million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 319 418 551 617 627 638 957 1102 1234 1254 1653 1851 1914 3306 3702 6061 6787 11723 12122 13574 17893 18183 20361 23446 35169 35786 36366 40722 53679 70338 107358 128953 196823 257906 339967 386859 393646 495151 590469 679934 773718 990302 1019901 1180938 1485453 2039802 2970906 3739637 5446661 7479274 9407869 10893322 11218911 14359379 16339983 18815738 22437822 28223607 28718758 32679966 43078137 56447214 86156274 103486559 157953169 206973118 272828201 305508167 310459677 315906338 473859507 545656402 611016334 620919354 818484603 916524501 947719014 1636969206 1833049002 3001110211 3360589837 5804655173 6002220422 6721179674 8859736843 9003330633 10081769511 11609310346 17413965519 17719473686 18006661266 20163539022 26579210529 34827931038 53158421058 63851206903 97457105273 127702413806 168335000017 191553620709 194914210546 292371315819 336670000034 383107241418 505005000051 584742631638 1010010000102 1851685000187 3703370000374 5555055000561 11110110001122