Search a number
-
+
111011121110112 = 2533192233622439
BaseRepresentation
bin11001001111011011001010…
…011100001001110001100000
3112120001120002220022010200020
4121033123022130021301200
5104022301234001010422
61032033445514153440
732245201032245256
oct3117331234116140
9476046086263606
10111011121110112
113240a6088a3783
121054a847a22880
1349c33c45b9912
141d5ad773825d6
15cc79c248c95c
hex64f6ca709c60

111011121110112 has 48 divisors (see below), whose sum is σ = 291405186213120. Its totient is φ = 37003580903552.

The previous prime is 111011121110107. The next prime is 111011121110129. The reversal of 111011121110112 is 211011121110111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 111011121110091 and 111011121110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28834189 + ... + 32456627.

It is an arithmetic number, because the mean of its divisors is an integer number (6070941379440).

Almost surely, 2111011121110112 is an apocalyptic number.

111011121110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111011121110112 is an abundant number, since it is smaller than the sum of its proper divisors (180394065103008).

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

111011121110112 is a wasteful number, since it uses less digits than its factorization.

111011121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941675 (or 3941667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 111011121110112 its reverse (211011121110111), we get a palindrome (322022242220223).

Subtracting 111011121110112 from its reverse (211011121110111), we obtain a palindrome (99999999999999).

The spelling of 111011121110112 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 319223 638446 957669 1276892 1915338 2553784 3622439 3830676 5107568 7244878 7661352 10215136 10867317 14489756 15322704 21734634 28979512 30645408 43469268 57959024 86938536 115918048 173877072 347754144 1156365844897 2312731689794 3469097534691 4625463379588 6938195069382 9250926759176 13876390138764 18501853518352 27752780277528 37003707036704 55505560555056 111011121110112