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122300212021 = 1357716304521
BaseRepresentation
bin111000111100110101…
…0010010001100110101
3102200200022102111012021
41301321222102030311
54000432323241041
6132103421553141
711556466435621
oct1617152221465
9380608374167
10122300212021
114795a310499
121b8521157b1
13b6c0904b80
145cc2a2c181
1532abdb9cd1
hex1c79a92335

122300212021 has 8 divisors (see below), whose sum is σ = 131936192024. Its totient is φ = 112696842240.

The previous prime is 122300212019. The next prime is 122300212079. The reversal of 122300212021 is 120212003221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13805075025 + 108495136996 = 117495^2 + 329386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122300212021 - 21 = 122300212019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122300211986 and 122300212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300212621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8144760 + ... + 8159761.

It is an arithmetic number, because the mean of its divisors is an integer number (16492024003).

Almost surely, 2122300212021 is an apocalyptic number.

It is an amenable number.

122300212021 is a deficient number, since it is larger than the sum of its proper divisors (9635980003).

122300212021 is a wasteful number, since it uses less digits than its factorization.

122300212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305111.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122300212021 its reverse (120212003221), we get a palindrome (242512215242).

The spelling of 122300212021 in words is "one hundred twenty-two billion, three hundred million, two hundred twelve thousand, twenty-one".

Divisors: 1 13 577 7501 16304521 211958773 9407708617 122300212021