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122231102308 = 22728938918013
BaseRepresentation
bin111000111010110001…
…0101001101101100100
3102200111111101100111021
41301311202221231210
54000312130233213
6132052512420524
711555000140600
oct1616542515544
9380444340437
10122231102308
11479242a8327
121b832b47744
13b6ac4b8653
145cb779c500
1532a5cb7d8d
hex1c758a9b64

122231102308 has 72 divisors (see below), whose sum is σ = 252284268600. Its totient is φ = 51660145152.

The previous prime is 122231102281. The next prime is 122231102327. The reversal of 122231102308 is 803201132221.

It can be written as a sum of positive squares in 4 ways, for example, as 14054576704 + 108176525604 = 118552^2 + 328902^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6776710 + ... + 6794722.

It is an arithmetic number, because the mean of its divisors is an integer number (3503948175).

Almost surely, 2122231102308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122231102308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126142134300).

122231102308 is an abundant number, since it is smaller than the sum of its proper divisors (130053166292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122231102308 is a wasteful number, since it uses less digits than its factorization.

122231102308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509 (or 18500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122231102308 its reverse (803201132221), we get a palindrome (925432234529).

The spelling of 122231102308 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred two thousand, three hundred eight".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 389 623 778 1246 1556 2492 2723 4361 5446 8722 10892 17444 18013 19061 34621 36026 38122 69242 72052 76244 126091 138484 242347 252182 484694 504364 882637 969388 1603157 1696429 1765274 3206314 3392858 3530548 6412628 6785716 7007057 11222099 14014114 22444198 28028228 44888396 49049399 78554693 98098798 157109386 196197596 314218772 343345793 623628073 686691586 1247256146 1373383172 2494512292 4365396511 8730793022 17461586044 30557775577 61115551154 122231102308