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112224202422211 = 1125931693192377
BaseRepresentation
bin11001100001000100111011…
…101110000111011111000011
3112201100112021121210202100101
4121201010323232013133003
5104202140131310002321
61034403030432503231
732431634232255415
oct3141047356073703
9481315247722311
10112224202422211
1132838020652200
12107059763aab17
134a8090a075989
141d9d974d609b5
15ce93207dc791
hex66113bb877c3

112224202422211 has 24 divisors (see below), whose sum is σ = 123570527672592. Its totient is φ = 101842840281600.

The previous prime is 112224202422173. The next prime is 112224202422349.

It is a happy number.

112224202422211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112224202422211 - 211 = 112224202420163 is a prime.

It is a super-2 number, since 2×1122242024222112 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112224202422211.

It is not an unprimeable number, because it can be changed into a prime (112224202422811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214803855 + ... + 1214896231.

It is an arithmetic number, because the mean of its divisors is an integer number (5148771986358).

Almost surely, 2112224202422211 is an apocalyptic number.

112224202422211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112224202422211 is a deficient number, since it is larger than the sum of its proper divisors (11346325250381).

112224202422211 is a wasteful number, since it uses less digits than its factorization.

112224202422211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109923 (or 109912 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 11222420 and 2422211, that added together give a palindrome (13644631).

The spelling of 112224202422211 in words is "one hundred twelve trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, two hundred eleven".

Divisors: 1 11 121 593 6523 16931 71753 92377 186241 1016147 2048651 10040083 11177617 54779561 110440913 602575171 1214850043 1564034987 6628326881 17204384857 189248233427 927472747291 10202200220201 112224202422211