Search a number
-
+
121314323232 = 2532421230289
BaseRepresentation
bin111000011111011100…
…1011010101100100000
3102121010121022011000200
41300332321122230200
53441422431320412
6131421522545200
711523165506364
oct1607671325440
9377117264020
10121314323232
11474a3855673
121b617b08200
13b59459891b
145c2bb152a4
1532505749dc
hex1c3ee5ab20

121314323232 has 36 divisors (see below), whose sum is σ = 344987607510. Its totient is φ = 40438107648.

The previous prime is 121314323231. The next prime is 121314323281. The reversal of 121314323232 is 232323413121.

121314323232 is a `hidden beast` number, since 1 + 2 + 1 + 314 + 323 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116038334736 + 5275988496 = 340644^2 + 72636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1213143232323 (a number of 34 digits) contains 333 as substring.

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 = 121314323196 and 121314323205.

It is not an unprimeable number, because it can be changed into a prime (121314323231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210614857 + ... + 210615432.

Almost surely, 2121314323232 is an apocalyptic number.

121314323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121314323232 is an abundant number, since it is smaller than the sum of its proper divisors (223673284278).

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

121314323232 is a wasteful number, since it uses less digits than its factorization.

121314323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421230305 (or 421230294 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 121314323232 its reverse (232323413121), we get a palindrome (353637736353).

The spelling of 121314323232 in words is "one hundred twenty-one billion, three hundred fourteen million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421230289 842460578 1263690867 1684921156 2527381734 3369842312 3791072601 5054763468 6739684624 7582145202 10109526936 13479369248 15164290404 20219053872 30328580808 40438107744 60657161616 121314323232