Search a number
-
+
122133123033232 = 2417449018834681
BaseRepresentation
bin11011110001010001010101…
…011010011110100010010000
3121000102210221100002122201211
4123301101111122132202100
5112002012113444030412
61111431103202305504
734503553433615563
oct3361212532364220
9530383840078654
10122133123033232
1135a08403a48223
1211846273958294
13531c14789680c
1422233bba9a4da
15e1be6973eca7
hex6f145569e890

122133123033232 has 20 divisors (see below), whose sum is σ = 250552509752556. Its totient is φ = 57474410839040.

The previous prime is 122133123033179. The next prime is 122133123033269. The reversal of 122133123033232 is 232330321331221.

122133123033232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 81466943017216 + 40666180016016 = 9025904^2 + 6377004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122133123033194 and 122133123033203.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224509417069 + ... + 224509417612.

Almost surely, 2122133123033232 is an apocalyptic number.

It is an amenable number.

122133123033232 is an abundant number, since it is smaller than the sum of its proper divisors (128419386719324).

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

122133123033232 is a wasteful number, since it uses less digits than its factorization.

122133123033232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449018834706 (or 449018834700 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 122133123033232 its reverse (232330321331221), we get a palindrome (354463444364453).

The spelling of 122133123033232 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-three million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 449018834681 898037669362 1796075338724 3592150677448 7184301354896 7633320189577 15266640379154 30533280758308 61066561516616 122133123033232