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221011121110122 = 23271754056516747
BaseRepresentation
bin110010010000001000101001…
…010111010111110001101010
31001222112110100000211220210200
4302100020221113113301222
5212432021234001010442
62102015035110053030
764360345420065150
oct6220105127276152
91058473300756720
10221011121110122
116446a321133982
122095552934a176
13964234a88b085
143c80dd12c33d0
151a84016ba034c
hexc902295d7c6a

221011121110122 has 24 divisors (see below), whose sum is σ = 547265633225376. Its totient is φ = 63146034602856.

The previous prime is 221011121110067. The next prime is 221011121110139.

It is a happy number.

221011121110122 is a `hidden beast` number, since 2 + 210 + 111 + 211 + 10 + 122 = 666.

221011121110122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 221011121110095 and 221011121110104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877028258248 + ... + 877028258499.

It is an arithmetic number, because the mean of its divisors is an integer number (22802734717724).

Almost surely, 2221011121110122 is an apocalyptic number.

221011121110122 is an abundant number, since it is smaller than the sum of its proper divisors (326254512115254).

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

221011121110122 is a wasteful number, since it uses less digits than its factorization.

221011121110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754056516762 (or 1754056516759 counting only the distinct ones).

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

The spelling of 221011121110122 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1754056516747 3508113033494 5262169550241 10524339100482 12278395617229 15786508650723 24556791234458 31573017301446 36835186851687 73670373703374 110505560555061 221011121110122