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20121034221 = 323378577741
BaseRepresentation
bin10010101111010011…
…101001110111101101
31220221021021102222200
4102233103221313231
5312201441043341
613124331332113
71311421653231
oct225723516755
956837242880
1020121034221
118595887902
123a965b1039
131b887a4512
14d8c3d05c1
157cb6c7db6
hex4af4e9ded

20121034221 has 24 divisors (see below), whose sum is σ = 29187742584. Its totient is φ = 13356887040.

The previous prime is 20121034201. The next prime is 20121034223. The reversal of 20121034221 is 12243012102.

It is a happy number.

20121034221 is a `hidden beast` number, since 201 + 210 + 34 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2647102500 + 17473931721 = 51450^2 + 132189^2 .

It is not a de Polignac number, because 20121034221 - 217 = 20120903149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121034194 and 20121034203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121034223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595411 + ... + 2603151.

It is an arithmetic number, because the mean of its divisors is an integer number (1216155941).

Almost surely, 220121034221 is an apocalyptic number.

It is an amenable number.

20121034221 is a deficient number, since it is larger than the sum of its proper divisors (9066708363).

20121034221 is a wasteful number, since it uses less digits than its factorization.

20121034221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8941 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20121034221 its reverse (12243012102), we get a palindrome (32364046323).

The spelling of 20121034221 in words is "twenty billion, one hundred twenty-one million, thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 337 857 1011 2571 3033 7713 7741 23223 69669 288809 866427 2599281 2608717 6634037 7826151 19902111 23478453 59706333 2235670469 6707011407 20121034221