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221211001121112 = 23323783037162583
BaseRepresentation
bin110010010011000010110011…
…001001000110100101011000
31002000020120021000100112022200
4302103002303021012211120
5212443310112241333422
62102250533032250200
764410652553125032
oct6223026311064530
91060216230315280
10221211001121112
11645370711a0602
1220988210840960
139658153088322
143c8a95348cc52
151a893148222ac
hexc930b3246958

221211001121112 has 48 divisors (see below), whose sum is σ = 615305374747440. Its totient is φ = 71744108470848.

The previous prime is 221211001121087. The next prime is 221211001121119. The reversal of 221211001121112 is 211121100112122.

It is a happy number.

221211001121112 is a `hidden beast` number, since 221 + 211 + 0 + 0 + 1 + 121 + 112 = 666.

It is a super-2 number, since 2×2212110011211122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211001121119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41518578628 + ... + 41518583955.

It is an arithmetic number, because the mean of its divisors is an integer number (12818861973905).

Almost surely, 2221211001121112 is an apocalyptic number.

It is an amenable number.

221211001121112 is an abundant number, since it is smaller than the sum of its proper divisors (394094373626328).

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

221211001121112 is a wasteful number, since it uses less digits than its factorization.

221211001121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83037162632 (or 83037162625 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221211001121112 its reverse (211121100112122), we get a palindrome (432332101233234).

The spelling of 221211001121112 in words is "two hundred twenty-one trillion, two hundred eleven billion, one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 83037162583 166074325166 249111487749 332148650332 498222975498 664297300664 747334463247 996445950996 1494668926494 1992891901992 2989337852988 3072375015571 5978675705976 6144750031142 9217125046713 12289500062284 18434250093426 24579000124568 27651375140139 36868500186852 55302750280278 73737000373704 110605500560556 221211001121112