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220012112110221 = 3412859812112161
BaseRepresentation
bin110010000001100110001111…
…110010011110001010001101
31001211222221201101011111220000
4302001212033302132022031
5212314134301200011341
62055532100300114513
764225231144514214
oct6201461762361215
91054887641144800
10220012112110221
1164114681645032
12208139a3235a39
13959c08c9cb132
143c4890072407b
151a6804743d8b6
hexc8198fc9e28d

220012112110221 has 20 divisors (see below), whose sum is σ = 328660479883164. Its totient is φ = 146674557907200.

The previous prime is 220012112110177. The next prime is 220012112110223. The reversal of 220012112110221 is 122011211210022.

220012112110221 is a `hidden beast` number, since 2 + 20 + 0 + 1 + 211 + 211 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126228595522500 + 93783516587721 = 11235150^2 + 9684189^2 .

It is not a de Polignac number, because 220012112110221 - 27 = 220012112110093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220012112110194 and 220012112110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012112110223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103108381 + ... + 105220541.

Almost surely, 2220012112110221 is an apocalyptic number.

It is an amenable number.

220012112110221 is a deficient number, since it is larger than the sum of its proper divisors (108648367772943).

220012112110221 is a wasteful number, since it uses less digits than its factorization.

220012112110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398154 (or 3398145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220012112110221 its reverse (122011211210022), we get a palindrome (342023323320243).

The spelling of 220012112110221 in words is "two hundred twenty trillion, twelve billion, one hundred twelve million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 1285981 2112161 3857943 6336483 11573829 19009449 34721487 57028347 104164461 171085041 2716198914941 8148596744823 24445790234469 73337370703407 220012112110221