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2122111001112 = 233471881304079
BaseRepresentation
bin11110111000010111101…
…011000010001000011000
321111212112120020102120220
4132320113223002020120
5234232040404013422
64302515003320040
7306213613613454
oct36702753021030
97455476212526
102122111001112
11748a89378323
122a3342820020
13125163bbba0b
14749d4307664
153a30346ee5c
hex1ee17ac2218

2122111001112 has 32 divisors (see below), whose sum is σ = 5418155750400. Its totient is φ = 692319900704.

The previous prime is 2122111001083. The next prime is 2122111001119. The reversal of 2122111001112 is 2111001112212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122111001091 and 2122111001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940650912 + ... + 940653167.

It is an arithmetic number, because the mean of its divisors is an integer number (169317367200).

Almost surely, 22122111001112 is an apocalyptic number.

It is an amenable number.

2122111001112 is an abundant number, since it is smaller than the sum of its proper divisors (3296044749288).

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

2122111001112 is a wasteful number, since it uses less digits than its factorization.

2122111001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881304135 (or 1881304131 counting only the distinct ones).

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

Adding to 2122111001112 its reverse (2111001112212), we get a palindrome (4233112113324).

It can be divided in two parts, 212211100 and 1112, that added together give a palindrome (212212212).

The spelling of 2122111001112 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1881304079 3762608158 5643912237 7525216316 11287824474 15050432632 22575648948 45151297896 88421291713 176842583426 265263875139 353685166852 530527750278 707370333704 1061055500556 2122111001112