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32234213141 = 1321669114281
BaseRepresentation
bin11110000001010011…
…110000111100010101
310002012110100200121222
4132001103300330111
51012003424310031
622450323020125
72220536201534
oct360123607425
9102173320558
1032234213141
1112741411479
1262b720a645
133069215300
1417bb07031b
15c89d52e7b
hex7814f0f15

32234213141 has 12 divisors (see below), whose sum is σ = 34925722020. Its totient is φ = 29736570240.

The previous prime is 32234213119. The next prime is 32234213171. The reversal of 32234213141 is 14131243223.

It can be written as a sum of positive squares in 6 ways, for example, as 2989793041 + 29244420100 = 54679^2 + 171010^2 .

It is a de Polignac number, because none of the positive numbers 2k-32234213141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32234213141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32234213171) 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 11 ways as a sum of consecutive naturals, for example, 224921 + ... + 339201.

It is an arithmetic number, because the mean of its divisors is an integer number (2910476835).

Almost surely, 232234213141 is an apocalyptic number.

It is an amenable number.

32234213141 is a deficient number, since it is larger than the sum of its proper divisors (2691508879).

32234213141 is a wasteful number, since it uses less digits than its factorization.

32234213141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115976 (or 115963 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 32234213141 its reverse (14131243223), we get a palindrome (46365456364).

The spelling of 32234213141 in words is "thirty-two billion, two hundred thirty-four million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 13 169 1669 21697 114281 282061 1485653 19313489 190734989 2479554857 32234213141