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121122102310 = 251121928118749
BaseRepresentation
bin111000011001101110…
…0001001110000100110
3102120122012121022111021
41300303130021300212
53441024224233220
6131350455001354
711515342611466
oct1606334116046
9376565538437
10121122102310
11474052a6200
121b58366925a
13b563806331
145c10399ba6
15323d7554aa
hex1c33709c26

121122102310 has 96 divisors (see below), whose sum is σ = 253165500000. Its totient is φ = 41575564800.

The previous prime is 121122102301. The next prime is 121122102373. The reversal of 121122102310 is 13201221121.

It is a super-2 number, since 2×1211221023102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6450816 + ... + 6469564.

It is an arithmetic number, because the mean of its divisors is an integer number (2637140625).

Almost surely, 2121122102310 is an apocalyptic number.

121122102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121122102310 is an abundant number, since it is smaller than the sum of its proper divisors (132043397690).

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

121122102310 is a wasteful number, since it uses less digits than its factorization.

121122102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19078 (or 19067 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121122102310 its reverse (13201221121), we get a palindrome (134323323431).

The spelling of 121122102310 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, three hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 121 190 209 242 281 418 562 605 1045 1210 1405 2090 2299 2810 3091 4598 5339 6182 10678 11495 15455 18749 22990 26695 30910 34001 37498 53390 58729 68002 93745 117458 170005 187490 206239 293645 340010 356231 412478 587290 646019 712462 1031195 1292038 1781155 2062390 2268629 3230095 3562310 3918541 4537258 5268469 6460190 7837082 10536938 11343145 19592705 22686290 26342345 39185410 43103951 52684690 57953159 86207902 100100911 115906318 200201822 215519755 289765795 431039510 500504555 579531590 637484749 1001009110 1101110021 1274969498 2202220042 3187423745 5505550105 6374847490 11011100210 12112210231 24224420462 60561051155 121122102310