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122101010199 = 357225739901
BaseRepresentation
bin111000110110111001…
…0011000111100010111
3102200011102120222200000
41301231302120330113
54000030324311244
6132031544222343
711551530314400
oct1615562307427
9380142528600
10122101010199
1147867923193
121b7b746a9b3
13b68b569c7c
145ca43b69a7
15329966c169
hex1c6dc98f17

122101010199 has 72 divisors (see below), whose sum is σ = 213594767568. Its totient is φ = 69498777600.

The previous prime is 122101010191. The next prime is 122101010209. The reversal of 122101010199 is 991010101221.

It is not a de Polignac number, because 122101010199 - 23 = 122101010191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101010191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3040149 + ... + 3080049.

It is an arithmetic number, because the mean of its divisors is an integer number (2966593994).

Almost surely, 2122101010199 is an apocalyptic number.

122101010199 is a deficient number, since it is larger than the sum of its proper divisors (91493757369).

122101010199 is an equidigital number, since it uses as much as digits as its factorization.

122101010199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40187 (or 40168 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 122101010199 in words is "one hundred twenty-two billion, one hundred one million, ten thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 257 441 567 771 1323 1701 1799 2313 3969 5397 6939 11907 12593 16191 20817 37779 39901 48573 62451 113337 119703 145719 279307 340011 359109 437157 837921 1020033 1077327 1955149 2513763 3060099 3231981 5865447 7541289 9695943 10254557 17596341 22623867 30763671 52789023 67871601 71781899 92291013 158367069 215345697 276873039 475101207 502473293 646037091 830619117 1507419879 1938111273 2491857351 4522259637 5814333819 13566778911 17443001457 40700336733 122101010199