Search a number
-
+
122212001101113 = 327114318122658627
BaseRepresentation
bin11011110010011010110010…
…111010011011010100111001
3121000201100112111002200012100
4123302122302322123110321
5112004310134240213423
61111531230201134013
734512345213260220
oct3362326272332471
9530640474080170
10122212001101113
1135a3890061a080
1211859607a8a309
13532670843bc71
142227141827cb7
15e1e034494343
hex6f26b2e9b539

122212001101113 has 96 divisors (see below), whose sum is σ = 226449965693952. Its totient is φ = 61667716521600.

The previous prime is 122212001101093. The next prime is 122212001101117. The reversal of 122212001101113 is 311101100212221.

It is a happy number.

It is not a de Polignac number, because 122212001101113 - 25 = 122212001101081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122212001101117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5935695 + ... + 16722932.

It is an arithmetic number, because the mean of its divisors is an integer number (2358853809312).

Almost surely, 2122212001101113 is an apocalyptic number.

It is an amenable number.

122212001101113 is a deficient number, since it is larger than the sum of its proper divisors (104237964592839).

122212001101113 is a wasteful number, since it uses less digits than its factorization.

122212001101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22658875 (or 22658872 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 122212001101113 its reverse (311101100212221), we get a palindrome (433313101313334).

The spelling of 122212001101113 in words is "one hundred twenty-two trillion, two hundred twelve billion, one million, one hundred one thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 181 231 301 387 473 543 693 903 1267 1419 1629 1991 2709 3311 3801 4257 5973 7783 9933 11403 13937 17919 23349 29799 41811 54481 70047 85613 125433 163443 256839 490329 599291 770517 1797873 5393619 22658627 67975881 158610389 203927643 249244897 475831167 747734691 974320961 1427493501 1744714279 2243204073 2922962883 4101211487 5234142837 6820246727 8768888649 10717530571 12303634461 15702428511 20460740181 28708480409 32152591713 36910903383 45113326357 61382220543 75022713997 86125441227 96457775139 135339979071 176352093941 225068141991 258376323681 315793284499 406019937213 529056281823 675204425973 947379853497 1234464657587 1587168845469 1939873033351 2842139560491 3703393972761 5819619100053 11110181918283 13579111233457 17458857300159 40737333700371 122212001101113