Search a number
-
+
121331231133309 = 3229647718501727
BaseRepresentation
bin11011100101100110100000…
…111011101000111001111101
3120220121011010010000102221200
4123211212200323220321331
5111400342330132231214
61110014444220050113
734361615005131411
oct3345464073507175
9526534103012850
10121331231133309
113572931697007a
121173697b993939
135291641991442
1421d666a378d41
15e061852ded09
hex6e59a0ee8e7d

121331231133309 has 24 divisors (see below), whose sum is σ = 181579756700160. Its totient is φ = 77977555319328.

The previous prime is 121331231133283. The next prime is 121331231133311. The reversal of 121331231133309 is 903331132133121.

121331231133309 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 1 + 2 + 311 + 3 + 330 + 9 = 666.

It is not a de Polignac number, because 121331231133309 - 217 = 121331231002237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331231133319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359081997 + ... + 359419730.

It is an arithmetic number, because the mean of its divisors is an integer number (7565823195840).

Almost surely, 2121331231133309 is an apocalyptic number.

It is an amenable number.

121331231133309 is a deficient number, since it is larger than the sum of its proper divisors (60248525566851).

121331231133309 is a wasteful number, since it uses less digits than its factorization.

121331231133309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718502409 (or 718502406 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 121331231133309 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-three thousand, three hundred nine".

Divisors: 1 3 9 29 87 261 647 1941 5823 18763 56289 168867 718501727 2155505181 6466515543 20836550083 62509650249 187528950747 464870617369 1394611852107 4183835556321 13481247903701 40443743711103 121331231133309