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112211012112221 = 11291129311566571
BaseRepresentation
bin11001100000111000101001…
…100001000100111101011101
3112201022021020100220120122202
4121200320221201010331131
5104201431123100042341
61034353005522421245
732430656325422231
oct3140705141047535
9481267210816582
10112211012112221
1132832472003070
12107032b4b01825
134a7c5b7430419
141d9d0832165c1
15ce8cec7e779b
hex660e29844f5d

112211012112221 has 16 divisors (see below), whose sum is σ = 126745281489600. Its totient is φ = 98405185468800.

The previous prime is 112211012112191. The next prime is 112211012112233. The reversal of 112211012112221 is 122211210112211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112211012112221 - 210 = 112211012111197 is a prime.

It is a super-3 number, since 3×1122110121122213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112211012112193 and 112211012112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211012112281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155423135 + ... + 156143436.

It is an arithmetic number, because the mean of its divisors is an integer number (7921580093100).

Almost surely, 2112211012112221 is an apocalyptic number.

112211012112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112211012112221 is a deficient number, since it is larger than the sum of its proper divisors (14534269377379).

112211012112221 is a wasteful number, since it uses less digits than its factorization.

112211012112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311567740.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112211012112221 its reverse (122211210112211), we get a palindrome (234422222224432).

The spelling of 112211012112221 in words is "one hundred twelve trillion, two hundred eleven billion, twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 29 319 1129 12419 32741 360151 311566571 3427232281 9035430559 99389736149 351758658659 3869345245249 10201001101111 112211012112221