Search a number
-
+
121114341432 = 23327594072987
BaseRepresentation
bin111000011001011111…
…0100011000000111000
3102120121200000000120100
41300302332203000320
53441020232411212
6131350020355400
711515216626150
oct1606276430070
9376550000510
10121114341432
1147400985357
121b580b45b60
13b5620199b6
145c0d339760
15323cc20bdc
hex1c32fa3038

121114341432 has 96 divisors (see below), whose sum is σ = 381231676800. Its totient is φ = 34017579072.

The previous prime is 121114341353. The next prime is 121114341443. The reversal of 121114341432 is 234143411121.

It is a happy number.

121114341432 is a `hidden beast` number, since 1 + 211 + 1 + 4 + 3 + 414 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121114341396 and 121114341405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006758 + ... + 2066229.

It is an arithmetic number, because the mean of its divisors is an integer number (3971163300).

Almost surely, 2121114341432 is an apocalyptic number.

121114341432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121114341432 is an abundant number, since it is smaller than the sum of its proper divisors (260117335368).

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

121114341432 is a wasteful number, since it uses less digits than its factorization.

121114341432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073065 (or 4073058 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 121114341432 its reverse (234143411121), we get a palindrome (355257752553).

The spelling of 121114341432 in words is "one hundred twenty-one billion, one hundred fourteen million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 9912 14868 29736 4072987 8145974 12218961 16291948 24437922 28510909 32583896 36656883 48875844 57021818 73313766 85532727 97751688 114043636 146627532 171065454 228087272 240306233 256598181 293255064 342130908 480612466 513196362 684261816 720918699 961224932 1026392724 1441837398 1682143631 1922449864 2052785448 2162756097 2883674796 3364287262 4325512194 5046430893 5767349592 6728574524 8651024388 10092861786 13457149048 15139292679 17302048776 20185723572 30278585358 40371447144 60557170716 121114341432