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1110122112 = 27311269977
BaseRepresentation
bin100001000101011…
…0001111010000000
32212100220001020210
41002022301322000
54233142401422
6302053434120
736336611421
oct10212617200
92770801223
101110122112
1151a6a91a0
1226b93b940
13148cb5cb8
14a7615648
15676d510c
hex422b1e80

1110122112 has 128 divisors (see below), whose sum is σ = 3232094400. Its totient is φ = 334807040.

The previous prime is 1110122089. The next prime is 1110122149. The reversal of 1110122112 is 2112210111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11101221122 = 2464742207102681088, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135768 + ... + 1136744.

Almost surely, 21110122112 is an apocalyptic number.

1110122112 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 1110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616047200).

1110122112 is an abundant number, since it is smaller than the sum of its proper divisors (2121972288).

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

1110122112 is a wasteful number, since it uses less digits than its factorization.

1110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

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

The square root of 1110122112 is about 33318.4950440442. The cubic root of 1110122112 is about 1035.4367724102.

Adding to 1110122112 its reverse (2112210111), we get a palindrome (3222332223).

It can be divided in two parts, 111012 and 2112, that multiplied together give a square (234457344 = 153122).

The spelling of 1110122112 in words is "one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 269 352 384 528 538 704 807 977 1056 1076 1408 1614 1954 2112 2152 2931 2959 3228 3908 4224 4304 5862 5918 6456 7816 8608 8877 10747 11724 11836 12912 15632 17216 17754 21494 23448 23672 25824 31264 32241 34432 35508 42988 46896 47344 51648 62528 64482 71016 85976 93792 94688 103296 125056 128964 142032 171952 187584 189376 257928 262813 284064 343904 375168 378752 515856 525626 568128 687808 788439 1031712 1051252 1136256 1375616 1576878 2063424 2102504 2890943 3153756 4126848 4205008 5781886 6307512 8410016 8672829 11563772 12615024 16820032 17345658 23127544 25230048 33640064 34691316 46255088 50460096 69382632 92510176 100920192 138765264 185020352 277530528 370040704 555061056 1110122112