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221020121111112 = 23323069723904321
BaseRepresentation
bin110010010000010001000001…
…110011101001101001001000
31001222120022120020221100011200
4302100101001303221221020
5212432143202001023422
62102023124131224200
764361114432612121
oct6220210163515110
91058508506840150
10221020121111112
116447311a425924
122095721b448060
13964315333b94b
143c816066d9048
151a84391d7c2ac
hexc90441ce9a48

221020121111112 has 24 divisors (see below), whose sum is σ = 598596161342790. Its totient is φ = 73673373703680.

The previous prime is 221020121111057. The next prime is 221020121111143. The reversal of 221020121111112 is 211111121020122.

It is a happy number.

221020121111112 is a `hidden beast` number, since 221 + 0 + 201 + 21 + 111 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137211845352516 + 83808275758596 = 11713746^2 + 9154686^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1534861952089 + ... + 1534861952232.

Almost surely, 2221020121111112 is an apocalyptic number.

It is an amenable number.

221020121111112 is an abundant number, since it is smaller than the sum of its proper divisors (377576040231678).

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

221020121111112 is a wasteful number, since it uses less digits than its factorization.

221020121111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069723904333 (or 3069723904326 counting only the distinct ones).

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

Adding to 221020121111112 its reverse (211111121020122), we get a palindrome (432131242131234).

It can be divided in two parts, 22102012 and 1111112, that added together give a square (23213124 = 48182).

The spelling of 221020121111112 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3069723904321 6139447808642 9209171712963 12278895617284 18418343425926 24557791234568 27627515138889 36836686851852 55255030277778 73673373703704 110510060555556 221020121111112