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122101320213 = 3337463120713
BaseRepresentation
bin111000110110111001…
…1100100101000010101
3102200011110011201221000
41301231303210220111
54000030414221323
6132031555013513
711551533045255
oct1615563445025
9380143151830
10122101320213
11478680150a4
121b7b759a299
13b68b648102
145ca4457965
1532996cde43
hex1c6dce4a15

122101320213 has 16 divisors (see below), whose sum is σ = 180897171840. Its totient is φ = 81398032992.

The previous prime is 122101320203. The next prime is 122101320247. The reversal of 122101320213 is 312023101221.

122101320213 is a `hidden beast` number, since 122 + 10 + 1 + 320 + 213 = 666.

It is not a de Polignac number, because 122101320213 - 28 = 122101319957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101320203) 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 15 ways as a sum of consecutive naturals, for example, 951145 + ... + 1071857.

It is an arithmetic number, because the mean of its divisors is an integer number (11306073240).

Almost surely, 2122101320213 is an apocalyptic number.

It is an amenable number.

122101320213 is a deficient number, since it is larger than the sum of its proper divisors (58795851627).

122101320213 is a wasteful number, since it uses less digits than its factorization.

122101320213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158185 (or 158179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122101320213 its reverse (312023101221), we get a palindrome (434124421434).

The spelling of 122101320213 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 27 37463 112389 120713 337167 362139 1011501 1086417 3259251 4522271119 13566813357 40700440071 122101320213