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211221221110101 = 342896379003233
BaseRepresentation
bin110000000001101011000101…
…110110100111000101010101
31000200212112220001211111210000
4300001223011312213011111
5210141122030101010401
62025121404525121513
762330141523101616
oct6001530566470525
91020775801744700
10211221221110101
1161335464877584
121b8341076b9299
1390b20ca382987
143a232397c9c0d
151964536c44186
hexc01ac5da7155

211221221110101 has 20 divisors (see below), whose sum is σ = 315529121404332. Its totient is φ = 140813645591808.

The previous prime is 211221221109937. The next prime is 211221221110111. The reversal of 211221221110101 is 101011122122112.

It is a happy number.

211221221110101 is a `hidden beast` number, since 2 + 11 + 221 + 221 + 110 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114109952315076 + 97111268795025 = 10682226^2 + 9854505^2 .

It is not a de Polignac number, because 211221221110101 - 219 = 211221220585813 is a prime.

It is a super-2 number, since 2×2112212211101012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221221110111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18958981 + ... + 27962213.

Almost surely, 2211221221110101 is an apocalyptic number.

It is an amenable number.

211221221110101 is a deficient number, since it is larger than the sum of its proper divisors (104307900294231).

211221221110101 is an equidigital number, since it uses as much as digits as its factorization.

211221221110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292882 (or 9292873 counting only the distinct ones).

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

Adding to 211221221110101 its reverse (101011122122112), we get a palindrome (312232343232213).

The spelling of 211221221110101 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 27 81 289637 868911 2606733 7820199 9003233 23460597 27009699 81029097 243087291 729261873 2607669396421 7823008189263 23469024567789 70407073703367 211221221110101