Search a number
-
+
120310133121 = 32359216117231
BaseRepresentation
bin111000000001100001…
…0101111000110000001
3102111112121202000011100
41300003002233012001
53432343343224441
6131134131405013
711456253154413
oct1600302570601
9374477660140
10120310133121
1147028a2a792
121b397753769
13b4645224a9
145b745d69b3
1531e2316cb6
hex1c030af181

120310133121 has 24 divisors (see below), whose sum is σ = 174356133120. Its totient is φ = 79941686400.

The previous prime is 120310133093. The next prime is 120310133179. The reversal of 120310133121 is 121331013021.

120310133121 is a `hidden beast` number, since 1 + 2 + 0 + 310 + 1 + 331 + 21 = 666.

It is not a de Polignac number, because 120310133121 - 215 = 120310100353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120310133094 and 120310133103.

It is not an unprimeable number, because it can be changed into a prime (120310133521) 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, 6973576 + ... + 6990806.

It is an arithmetic number, because the mean of its divisors is an integer number (7264838880).

Almost surely, 2120310133121 is an apocalyptic number.

It is an amenable number.

120310133121 is a deficient number, since it is larger than the sum of its proper divisors (54045999999).

120310133121 is a wasteful number, since it uses less digits than its factorization.

120310133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19757 (or 19754 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120310133121 its reverse (121331013021), we get a palindrome (241641146142).

The spelling of 120310133121 in words is "one hundred twenty billion, three hundred ten million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 359 1077 2161 3231 6483 17231 19449 51693 155079 775799 2327397 6185929 6982191 18557787 37236191 55673361 111708573 335125719 13367792569 40103377707 120310133121