Search a number
-
+
121101212331 = 321189127108223
BaseRepresentation
bin111000011001000110…
…0011101101010101011
3102120120202021222211100
41300302030131222223
53441003402243311
6131344431132443
711515000214661
oct1606214355253
9376522258740
10121101212331
11473a4528260
121b578674123
13b55c3a0ab8
145c0b6bcc31
15323b9caa56
hex1c3231daab

121101212331 has 48 divisors (see below), whose sum is σ = 194491514880. Its totient is φ = 71997932160.

The previous prime is 121101212329. The next prime is 121101212363. The reversal of 121101212331 is 133212101121.

121101212331 is a `hidden beast` number, since 1 + 21 + 101 + 212 + 331 = 666.

It is not a de Polignac number, because 121101212331 - 21 = 121101212329 is a prime.

It is a super-2 number, since 2×1211012123312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121101212371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1064886 + ... + 1173108.

It is an arithmetic number, because the mean of its divisors is an integer number (4051906560).

Almost surely, 2121101212331 is an apocalyptic number.

121101212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121101212331 is a deficient number, since it is larger than the sum of its proper divisors (73390302549).

121101212331 is a wasteful number, since it uses less digits than its factorization.

121101212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108456 (or 108453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121101212331 its reverse (133212101121), we get a palindrome (254313313452).

The spelling of 121101212331 in words is "one hundred twenty-one billion, one hundred one million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 89 99 127 267 381 801 979 1143 1397 2937 4191 8811 11303 12573 33909 101727 108223 124333 324669 372999 974007 1118997 1190453 3571359 9631847 10714077 13744321 28895541 41232963 86686623 105950317 123698889 151187531 317850951 453562593 953552853 1223244569 1360687779 3669733707 11009201121 13455690259 40367070777 121101212331