Search a number
-
+
212121100120103 = 2341643349833347
BaseRepresentation
bin110000001110110001001010…
…110100100111000000100111
31000211001120122011221122221022
4300032301022310213000213
5210300343003112320403
62031051031011241355
762452146414345626
oct6016611264470047
91024046564848838
10212121100120103
1161652065039839
121b95a5a72a925b
139148c1aa59365
143a54a04ab96bd
15197cb53821d38
hexc0ec4ad27027

212121100120103 has 16 divisors (see below), whose sum is σ = 227095017520896. Its totient is φ = 197641847156160.

The previous prime is 212121100120093. The next prime is 212121100120133. The reversal of 212121100120103 is 301021001121212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212121100120103 - 220 = 212121099071527 is a prime.

It is a super-3 number, since 3×2121211001201033 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121100120133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174310325 + ... + 175523022.

It is an arithmetic number, because the mean of its divisors is an integer number (14193438595056).

Almost surely, 2212121100120103 is an apocalyptic number.

212121100120103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212121100120103 is a deficient number, since it is larger than the sum of its proper divisors (14973917400793).

212121100120103 is a wasteful number, since it uses less digits than its factorization.

212121100120103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349834054.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212121100120103 its reverse (301021001121212), we get a palindrome (513142101241315).

The spelling of 212121100120103 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred million, one hundred twenty thousand, one hundred three".

Divisors: 1 23 41 643 943 14789 26363 606349 349833347 8046166981 14343167227 224942842121 329892846221 5173685368783 9222656526961 212121100120103