Search a number
-
+
121101434011212 = 223291111331314013
BaseRepresentation
bin11011100010010000011111…
…111101001011111001001100
3120212210011222011012010020120
4123202100133331023321030
5111333111214101324322
61105321121502144540
734336201266620334
oct3342203775137114
9525704864163216
10121101434011212
113564a914434036
12116ba329282150
135275a7c331395
1421c94aab800c4
15e001d5e68a5c
hex6e241ff4be4c

121101434011212 has 48 divisors (see below), whose sum is σ = 292340119340640. Its totient is φ = 38971665750528.

The previous prime is 121101434011157. The next prime is 121101434011223. The reversal of 121101434011212 is 212110434101121.

121101434011212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1211014340112122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11789683 + ... + 19524330.

It is an arithmetic number, because the mean of its divisors is an integer number (6090419152930).

Almost surely, 2121101434011212 is an apocalyptic number.

121101434011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121101434011212 is an abundant number, since it is smaller than the sum of its proper divisors (171238685329428).

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

121101434011212 is a wasteful number, since it uses less digits than its factorization.

121101434011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31325162 (or 31325160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 121101434011212 its reverse (212110434101121), we get a palindrome (333211868112333).

The spelling of 121101434011212 in words is "one hundred twenty-one trillion, one hundred one billion, four hundred thirty-four million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 11113 22226 33339 44452 66678 133356 322277 644554 966831 1289108 1933662 3867324 31314013 62628026 93942039 125256052 187884078 375768156 908106377 1816212754 2724319131 3632425508 5448638262 10897276524 347992626469 695985252938 1043977879407 1391970505876 2087955758814 4175911517628 10091786167601 20183572335202 30275358502803 40367144670404 60550717005606 121101434011212