Search a number
-
+
232221132511011 = 33721332791316983
BaseRepresentation
bin110100110011010000110010…
…000111001101011100100011
31010110020010100000000010211000
4310303100302013031130203
5220414202334410323021
62141520525430523043
766625265100603300
oct6463206207153443
91113203300003730
10232221132511011
1167aa147a345716
1222066017506483
139c76488480b37
14414b7c43ca0a7
151bca91068eb26
hexd334321cd723

232221132511011 has 48 divisors (see below), whose sum is σ = 400202990745600. Its totient is φ = 132696693608976.

The previous prime is 232221132510979. The next prime is 232221132511063. The reversal of 232221132511011 is 110115231122232.

232221132511011 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 1 + 132 + 511 + 0 + 11 = 666.

It is not a de Polignac number, because 232221132511011 - 25 = 232221132510979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232221132511811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175669626 + ... + 176986608.

It is an arithmetic number, because the mean of its divisors is an integer number (8337562307200).

Almost surely, 2232221132511011 is an apocalyptic number.

232221132511011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232221132511011 is a deficient number, since it is larger than the sum of its proper divisors (167981858234589).

232221132511011 is a wasteful number, since it uses less digits than its factorization.

232221132511011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450285 (or 1450272 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 232221132511011 its reverse (110115231122232), we get a palindrome (342336363633243).

The spelling of 232221132511011 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, one hundred thirty-two million, five hundred eleven thousand, eleven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 133279 399837 932953 1199511 1316983 2798859 3598533 3950949 6530671 8396577 9218881 11852847 19592013 25189731 27656643 35558541 58776039 64532167 82969929 176328117 193596501 248909787 580789503 1742368509 175526177257 526578531771 1228683240799 1579735595313 3686049722397 4739206785939 8600782685593 11058149167191 25802348056779 33174447501573 77407044170337 232221132511011