Search a number
-
+
121221012332310 = 235113661031003369
BaseRepresentation
bin11011100011111111110111…
…011000010001111100010110
3120220012121121202220020000220
4123203333313120101330112
5111342041113124113220
61105452055252415210
734350633455600232
oct3343776730217426
9526177552806026
10121221012332310
11356965a72665a0
121171953b917506
1352841280567b7
1421d11b20bb5c2
15e03383dc7540
hex6e3ff7611f16

121221012332310 has 64 divisors (see below), whose sum is σ = 317379833694720. Its totient is φ = 29386802522880.

The previous prime is 121221012332263. The next prime is 121221012332317. The reversal of 121221012332310 is 13233210122121.

It is a super-2 number, since 2×1212210123323102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221012332317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120312306 + ... + 121315674.

It is an arithmetic number, because the mean of its divisors is an integer number (4959059901480).

Almost surely, 2121221012332310 is an apocalyptic number.

121221012332310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121221012332310 is an abundant number, since it is smaller than the sum of its proper divisors (196158821362410).

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

121221012332310 is a wasteful number, since it uses less digits than its factorization.

121221012332310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369493.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121221012332310 its reverse (13233210122121), we get a palindrome (134454222454431).

The spelling of 121221012332310 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twelve million, three hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 366103 732206 1003369 1098309 1830515 2006738 2196618 3010107 3661030 4027133 5016845 5491545 6020214 8054266 10033690 10983090 11037059 12081399 15050535 20135665 22074118 24162798 30101070 33111177 40271330 55185295 60406995 66222354 110370590 120813990 165555885 331111770 367336401007 734672802014 1102009203021 1836682005035 2204018406042 3673364010070 4040700411077 5510046015105 8081400822154 11020092030210 12122101233231 20203502055385 24244202466462 40407004110770 60610506166155 121221012332310