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221131332031 = 4381117333659
BaseRepresentation
bin1100110111110001110…
…1000101100110111111
3210010210000121120112111
43031330131011212333
512110334110111111
6245330351514451
721655561211011
oct3157435054677
9703700546474
10221131332031
1185865965775
1236a34528a27
1317b111c7b3c
14a9ba7401b1
155b436b4a21
hex337c7459bf

221131332031 has 16 divisors (see below), whose sum is σ = 226745608320. Its totient is φ = 215539017120.

The previous prime is 221131332011. The next prime is 221131332091. The reversal of 221131332031 is 130233131122.

It is a cyclic number.

It is not a de Polignac number, because 221131332031 - 225 = 221097777599 is a prime.

It is a super-2 number, since 2×2211313320312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221131331993 and 221131332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221131332001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60433080 + ... + 60436738.

It is an arithmetic number, because the mean of its divisors is an integer number (14171600520).

Almost surely, 2221131332031 is an apocalyptic number.

221131332031 is a deficient number, since it is larger than the sum of its proper divisors (5614276289).

221131332031 is a wasteful number, since it uses less digits than its factorization.

221131332031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 221131332031 its reverse (130233131122), we get a palindrome (351364463153).

The spelling of 221131332031 in words is "two hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 43 811 1733 3659 34873 74519 157337 1405463 2967449 6341047 60434909 127600307 272665021 5142589117 221131332031