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232202131131 = 32913926373009
BaseRepresentation
bin1101100001000001010…
…0110101011010111011
3211012100120021102212210
43120100110311122323
512301022221144011
6254401105310203
722530120356145
oct3302024653273
9735316242783
10232202131131
118a52705aa13
1239004035363
1318b869b0939
14b34ab9dc95
15609058b6a6
hex36105356bb

232202131131 has 32 divisors (see below), whose sum is σ = 323813952000. Its totient is φ = 147821925888.

The previous prime is 232202131097. The next prime is 232202131151. The reversal of 232202131131 is 131131202232.

232202131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232202131131 - 27 = 232202131003 is a prime.

It is a super-2 number, since 2×2322021311312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232202131098 and 232202131107.

It is not an unprimeable number, because it can be changed into a prime (232202131151) 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 31 ways as a sum of consecutive naturals, for example, 3143955 + ... + 3216963.

It is an arithmetic number, because the mean of its divisors is an integer number (10119186000).

Almost surely, 2232202131131 is an apocalyptic number.

232202131131 is a deficient number, since it is larger than the sum of its proper divisors (91611820869).

232202131131 is a wasteful number, since it uses less digits than its factorization.

232202131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73443.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 232202131131 its reverse (131131202232), we get a palindrome (363333333363).

The spelling of 232202131131 in words is "two hundred thirty-two billion, two hundred two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 29 87 139 263 417 789 4031 7627 12093 22881 36557 73009 109671 219027 1060153 2117261 3180459 6351783 10148251 19201367 30444753 57604101 294299279 556839643 882897837 1670518929 2668990013 8006970039 77400710377 232202131131