Search a number
-
+
133222230102132 = 223243113217601879
BaseRepresentation
bin11110010010101000110111…
…101100111001000001110100
3122110200220212021102102222100
4132102220313230321001310
5114430203111401232012
61151201240403502100
740026663024521133
oct3622506754710164
9573626767372870
10133222230102132
11394a3259883936
1212b3743b387930
135944a57b1cb32
1424c7dc16d391a
151060638b938dc
hex792a37b39074

133222230102132 has 72 divisors (see below), whose sum is σ = 344618215381440. Its totient is φ = 43370842515840.

The previous prime is 133222230102107. The next prime is 133222230102149. The reversal of 133222230102132 is 231201032222331.

133222230102132 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 222 + 301 + 0 + 2 + 132 = 666.

133222230102132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133222230102096 and 133222230102105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13723969 + ... + 21325847.

It is an arithmetic number, because the mean of its divisors is an integer number (4786364102520).

Almost surely, 2133222230102132 is an apocalyptic number.

133222230102132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133222230102132 is an abundant number, since it is smaller than the sum of its proper divisors (211395985279308).

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

133222230102132 is a wasteful number, since it uses less digits than its factorization.

133222230102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613253 (or 7613248 counting only the distinct ones).

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

Adding to 133222230102132 its reverse (231201032222331), we get a palindrome (364423262324463).

The spelling of 133222230102132 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, two hundred thirty million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 11321 22642 33963 45284 67926 101889 135852 203778 407556 486803 973606 1460409 1947212 2920818 4381227 5841636 7601879 8762454 15203758 17524908 22805637 30407516 45611274 68416911 91222548 136833822 273667644 326880797 653761594 980642391 1307523188 1961284782 2941927173 3922569564 5883854346 11767708692 86060872159 172121744318 258182616477 344243488636 516365232954 774547849431 1032730465908 1549095698862 3098191397724 3700617502837 7401235005674 11101852508511 14802470011348 22203705017022 33305557525533 44407410034044 66611115051066 133222230102132