Search a number
-
+
231221332002033 = 321719139719930243
BaseRepresentation
bin110100100100101101101001…
…010110111100010011110001
31010022200112200011221220120100
4310210231221112330103301
5220301312241443031113
62135433340304103013
766463122104521602
oct6444555126742361
91108615604856510
10231221332002033
1167746463a9533a
1221b242b0304a69
139c03102621a29
14411525a671da9
151bae8e66d1d73
hexd24b695bc4f1

231221332002033 has 48 divisors (see below), whose sum is σ = 356379548967936. Its totient is φ = 143956935175680.

The previous prime is 231221332002029. The next prime is 231221332002043. The reversal of 231221332002033 is 330200233122132.

231221332002033 is a `hidden beast` number, since 2 + 3 + 1 + 221 + 33 + 200 + 203 + 3 = 666.

It is not a de Polignac number, because 231221332002033 - 22 = 231221332002029 is a prime.

It is a super-2 number, since 2×2312213320020332 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231221332001988 and 231221332002006.

It is not an unprimeable number, because it can be changed into a prime (231221332002043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636410 + ... + 21566652.

It is an arithmetic number, because the mean of its divisors is an integer number (7424573936832).

Almost surely, 2231221332002033 is an apocalyptic number.

It is an amenable number.

231221332002033 is a deficient number, since it is larger than the sum of its proper divisors (125158216965903).

231221332002033 is a wasteful number, since it uses less digits than its factorization.

231221332002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19930854 (or 19930851 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231221332002033 its reverse (330200233122132), we get a palindrome (561421565124165).

The spelling of 231221332002033 in words is "two hundred thirty-one trillion, two hundred twenty-one billion, three hundred thirty-two million, two thousand, thirty-three".

Divisors: 1 3 9 17 51 153 191 397 573 1191 1719 3247 3573 6749 9741 20247 29223 60741 75827 227481 682443 1289059 3867177 11601531 19930243 59790729 179372187 338814131 1016442393 3049327179 3806676413 7912306471 11420029239 23736919413 34260087717 64713499021 71210758239 134509210007 194140497063 403527630021 582421491189 1210582890063 1511250535961 4533751607883 13601254823649 25691259111337 77073777334011 231221332002033