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132222222123201 = 32717522723619053
BaseRepresentation
bin11110000100000101100010…
…100101001100000011000001
3122100011022122222222122110100
4132010011202211030003001
5114312312102330420301
61145114014510153013
736564511632120660
oct3604054245140301
9570138588878410
10132222222123201
11391481473a9291
12129b56767b2769
1358a166acbc642
1424918381b0dd7
15104460b8a3286
hex78416294c0c1

132222222123201 has 48 divisors (see below), whose sum is σ = 231155335592064. Its totient is φ = 71097503473152.

The previous prime is 132222222123179. The next prime is 132222222123209. The reversal of 132222222123201 is 102321222222231.

132222222123201 is a `hidden beast` number, since 1 + 3 + 2 + 22 + 222 + 212 + 3 + 201 = 666.

It is not a de Polignac number, because 132222222123201 - 26 = 132222222123137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132222222123209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6211410 + ... + 17407643.

It is an arithmetic number, because the mean of its divisors is an integer number (4815736158168).

Almost surely, 2132222222123201 is an apocalyptic number.

It is an amenable number.

132222222123201 is a deficient number, since it is larger than the sum of its proper divisors (98933113468863).

132222222123201 is a wasteful number, since it uses less digits than its factorization.

132222222123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23624310 (or 23624307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132222222123201 its reverse (102321222222231), we get a palindrome (234543444345432).

The spelling of 132222222123201 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 5227 15681 36589 47043 88859 109767 266577 329301 622013 799731 1866039 5598117 23619053 70857159 165333371 212571477 401523901 496000113 1204571703 1488000339 2810667307 3613715109 8432001921 25296005763 123456790031 370370370093 864197530217 1111111110279 2098765430527 2592592590651 6296296291581 7777777771953 14691358013689 18888888874743 44074074041067 132222222123201