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110112102012 = 22311360111471
BaseRepresentation
bin110011010001100110…
…0010101011001111100
3101112012220100100102110
41212203030111121330
53301002144231022
6122330152254020
710645452265323
oct1464314253174
9345186310373
10110112102012
1142775458000
12194103a1310
13a4ca7b9c63
1454880450ba
152ce6d8d00c
hex19a331567c

110112102012 has 96 divisors (see below), whose sum is σ = 283096654848. Its totient is φ = 33308880000.

The previous prime is 110112102011. The next prime is 110112102071. The reversal of 110112102012 is 210201211011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9593437 + ... + 9604907.

It is an arithmetic number, because the mean of its divisors is an integer number (2948923488).

Almost surely, 2110112102012 is an apocalyptic number.

110112102012 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 110112102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141548327424).

110112102012 is an abundant number, since it is smaller than the sum of its proper divisors (172984552836).

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

110112102012 is a wasteful number, since it uses less digits than its factorization.

110112102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110112102012 its reverse (210201211011), we get a palindrome (320313313023).

It can be divided in two parts, 11011 and 2102012, that multiplied together give a palindrome (23145254132).

The spelling of 110112102012 in words is "one hundred ten billion, one hundred twelve million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 601 726 1202 1331 1452 1803 2404 2662 3606 3993 5324 6611 7212 7986 11471 13222 15972 19833 22942 26444 34413 39666 45884 68826 72721 79332 126181 137652 145442 218163 252362 290884 378543 436326 504724 757086 799931 872652 1387991 1514172 1599862 2399793 2775982 3199724 4163973 4799586 5551964 6894071 8327946 9599172 13788142 15267901 16655892 20682213 27576284 30535802 41364426 45803703 61071604 75834781 82728852 91607406 151669562 183214812 227504343 303339124 455008686 834182591 910017372 1668365182 2502547773 3336730364 5005095546 9176008501 10010191092 18352017002 27528025503 36704034004 55056051006 110112102012