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122132441133 = 3213570271237
BaseRepresentation
bin111000110111110101…
…0010010100000101101
3102200020121201211210200
41301233222102200231
54000111401104013
6132035030024113
711552361422643
oct1615752224055
9380217654720
10122132441133
114788364076a
121b805aa8039
13b694c23361
145ca8639193
15329c2c9e73
hex1c6fa9282d

122132441133 has 6 divisors (see below), whose sum is σ = 176413526094. Its totient is φ = 81421627416.

The previous prime is 122132441089. The next prime is 122132441143. The reversal of 122132441133 is 331144231221.

122132441133 is a `hidden beast` number, since 1 + 2 + 213 + 2 + 4 + 411 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121886170884 + 246270249 = 349122^2 + 15693^2 .

It is not a de Polignac number, because 122132441133 - 210 = 122132440109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122132441097 and 122132441106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132441143) 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, 6785135610 + ... + 6785135627.

It is an arithmetic number, because the mean of its divisors is an integer number (29402254349).

Almost surely, 2122132441133 is an apocalyptic number.

It is an amenable number.

122132441133 is a deficient number, since it is larger than the sum of its proper divisors (54281084961).

122132441133 is a wasteful number, since it uses less digits than its factorization.

122132441133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13570271243 (or 13570271240 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 122132441133 its reverse (331144231221), we get a palindrome (453276672354).

The spelling of 122132441133 in words is "one hundred twenty-two billion, one hundred thirty-two million, four hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 13570271237 40710813711 122132441133