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2211012110112 = 253131771644319
BaseRepresentation
bin100000001011001010100…
…101110110011100100000
321211101000020100200122120
4200023022211312130200
5242211123100010422
64411420330504240
7315511640563251
oct40131245663440
97741006320576
102211012110112
11782759771333
122b8613595080
1313066115b020
14790292b4b28
153c7a80d445c
hex202ca976720

2211012110112 has 48 divisors (see below), whose sum is σ = 6250361160960. Its totient is φ = 680311418112.

The previous prime is 2211012110101. The next prime is 2211012110119. The reversal of 2211012110112 is 2110112101122.

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 = 2211012110091 and 2211012110100.

It is not an unprimeable number, because it can be changed into a prime (2211012110119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 885820912 + ... + 885823407.

It is an arithmetic number, because the mean of its divisors is an integer number (130215857520).

Almost surely, 22211012110112 is an apocalyptic number.

It is an amenable number.

2211012110112 is an abundant number, since it is smaller than the sum of its proper divisors (4039349050848).

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

2211012110112 is a wasteful number, since it uses less digits than its factorization.

2211012110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771644345 (or 1771644337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211012110112 its reverse (2110112101122), we get a palindrome (4321124211234).

The spelling of 2211012110112 in words is "two trillion, two hundred eleven billion, twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1771644319 3543288638 5314932957 7086577276 10629865914 14173154552 21259731828 23031376147 28346309104 42519463656 46062752294 56692618208 69094128441 85038927312 92125504588 138188256882 170077854624 184251009176 276376513764 368502018352 552753027528 737004036704 1105506055056 2211012110112