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202120002112221 = 32291935594000879
BaseRepresentation
bin101101111101001110111010…
…111011011000101011011101
3222111122111001110121211110100
4231331032322323120223131
5202443013231020042341
61553512351440131313
760400455034043214
oct5575167273305335
9874574043554410
10202120002112221
115944667aa31196
121a804263906b39
1388a1ab0299b3b
1437ca935c0a07b
1518579122dd3b6
hexb7d3baed8add

202120002112221 has 24 divisors (see below), whose sum is σ = 302020029792000. Its totient is φ = 130099526579232.

The previous prime is 202120002112213. The next prime is 202120002112229. The reversal of 202120002112221 is 122211200021202.

It is a happy number.

202120002112221 is a `hidden beast` number, since 20 + 212 + 0 + 0 + 0 + 211 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (202120002112213) and next prime (202120002112229).

It is not a de Polignac number, because 202120002112221 - 23 = 202120002112213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202120002112194 and 202120002112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120002112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48518460 + ... + 52519338.

It is an arithmetic number, because the mean of its divisors is an integer number (12584167908000).

Almost surely, 2202120002112221 is an apocalyptic number.

It is an amenable number.

202120002112221 is a deficient number, since it is larger than the sum of its proper divisors (99900027679779).

202120002112221 is a wasteful number, since it uses less digits than its factorization.

202120002112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194473 (or 4194470 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202120002112221 its reverse (122211200021202), we get a palindrome (324331202133423).

The spelling of 202120002112221 in words is "two hundred two trillion, one hundred twenty billion, two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 193559 580677 1742031 4000879 5613211 12002637 16839633 36007911 50518899 116025491 348076473 1044229419 774406138361 2323218415083 6969655245249 22457778012469 67373334037407 202120002112221