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110110312312 = 2371113101136139
BaseRepresentation
bin110011010001100010…
…1100000011101111000
3101112012202222102102021
41212203011200131320
53301001214443222
6122330050044224
710645431132460
oct1464305403570
9345182872367
10110110312312
1142774445410
121940b879674
13a4ca311470
145487adaba0
152ce6b37ac7
hex19a3160778

110110312312 has 128 divisors (see below), whose sum is σ = 279947404800. Its totient is φ = 39207744000.

The previous prime is 110110312297. The next prime is 110110312321. The reversal of 110110312312 is 213213011011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740739 + ... + 876877.

It is an arithmetic number, because the mean of its divisors is an integer number (2187089100).

Almost surely, 2110110312312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139973702400).

110110312312 is an abundant number, since it is smaller than the sum of its proper divisors (169837092488).

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

110110312312 is a wasteful number, since it uses less digits than its factorization.

110110312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136277 (or 136273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110110312312 its reverse (213213011011), we get a palindrome (323323323323).

The spelling of 110110312312 in words is "one hundred ten billion, one hundred ten million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 136139 202202 272278 404404 544556 808808 952973 1089112 1497529 1769807 1905946 2995058 3539614 3811892 5990116 7079228 7623784 10482703 11980232 12388649 13750039 14158456 19467877 20965406 24777298 27500078 38935754 41930812 49554596 55000156 77871508 83861624 96250273 99109192 110000312 136275139 151250429 155743016 178750507 192500546 272550278 302500858 357501014 385001092 545100556 605001716 715002028 770002184 1058753003 1090201112 1210003432 1251253549 1430004056 1966255577 2117506006 2502507098 3932511154 4235012012 5005014196 7865022308 8470024024 10010028392 13763789039 15730044616 27527578078 55055156156 110110312312