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110110011012 = 2234790143013
BaseRepresentation
bin110011010001100010…
…0010110111010000100
3101112012202102010010000
41212203010112322010
53301001130323022
6122330035401300
710645425436161
oct1464304267204
9345182363100
10110110011012
114277425a001
121940b753230
13a4ca237291
145487a5d068
152ce6ac86ac
hex19a3116e84

110110011012 has 60 divisors (see below), whose sum is σ = 287892443916. Its totient is φ = 36697838400.

The previous prime is 110110010921. The next prime is 110110011023. The reversal of 110110011012 is 210110011011.

It can be written as a sum of positive squares in 2 ways, for example, as 82405740096 + 27704270916 = 287064^2 + 166446^2 .

It is a super-2 number, since 2×1101100110122 (a number of 23 digits) contains 22 as substring.

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 = 110110010985 and 110110011003.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2538418 + ... + 2581430.

Almost surely, 2110110011012 is an apocalyptic number.

110110011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110110011012 is an abundant number, since it is smaller than the sum of its proper divisors (177782432904).

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

110110011012 is a wasteful number, since it uses less digits than its factorization.

110110011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50930 (or 50919 counting only the distinct ones).

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

Adding to 110110011012 its reverse (210110011011), we get a palindrome (320220022023).

Subtracting 110110011012 from its reverse (210110011011), we obtain a palindrome (99999999999).

The spelling of 110110011012 in words is "one hundred ten billion, one hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 7901 15802 23703 31604 43013 47406 71109 86026 94812 129039 142218 172052 213327 258078 284436 387117 426654 516156 639981 774234 853308 1161351 1279962 1548468 2322702 2559924 3484053 4645404 6968106 13936212 339845713 679691426 1019537139 1359382852 2039074278 3058611417 4078148556 6117222834 9175834251 12234445668 18351668502 27527502753 36703337004 55055005506 110110011012