Search a number
-
+
121221100331320 = 23511907303751379
BaseRepresentation
bin11011100011111111111100…
…100111111110000100111000
3120220012121211220111000222111
4123203333330213332010320
5111342041303141100240
61105452112114502104
734350635604560143
oct3343777447760470
9526177756430874
10121221100331320
1135696641a00550
1211719565294934
135284140357a12
1421d11bda6705a
15e0338b9ab1ea
hex6e3ffc9fe138

121221100331320 has 64 divisors (see below), whose sum is σ = 297870753283200. Its totient is φ = 44031799754880.

The previous prime is 121221100331281. The next prime is 121221100331321. The reversal of 121221100331320 is 23133001122121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 121221100331291 and 121221100331300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221100331321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151476610 + ... + 152274769.

It is an arithmetic number, because the mean of its divisors is an integer number (4654230520050).

Almost surely, 2121221100331320 is an apocalyptic number.

121221100331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221100331320 is an abundant number, since it is smaller than the sum of its proper divisors (176649652951880).

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

121221100331320 is a wasteful number, since it uses less digits than its factorization.

121221100331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303752308 (or 303752304 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121221100331320 its reverse (23133001122121), we get a palindrome (144354101453441).

The spelling of 121221100331320 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 907 1814 3628 4535 7256 9070 9977 18140 19954 36280 39908 49885 79816 99770 199540 399080 303751379 607502758 1215005516 1518756895 2430011032 3037513790 3341265169 6075027580 6682530338 12150055160 13365060676 16706325845 26730121352 33412651690 66825303380 133650606760 275502500753 551005001506 1102010003012 1377512503765 2204020006024 2755025007530 3030527508283 5510050015060 6061055016566 11020100030120 12122110033132 15152637541415 24244220066264 30305275082830 60610550165660 121221100331320