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21331031123233 = 134498574264237
BaseRepresentation
bin1001101100110100001001…
…00010000110010100100001
32210112020010020100100102101
410312122010202012110201
510243441422431420413
6113211201310250401
74331054556630316
oct466320442062441
983466106310371
1021331031123233
116884491a74417
12248611b1b6a01
13bb967a289750
1453a5dab80d0d
1526ed081b2edd
hex136684886521

21331031123233 has 16 divisors (see below), whose sum is σ = 23049912085200. Its totient is φ = 19623400022016.

The previous prime is 21331031123221. The next prime is 21331031123287. The reversal of 21331031123233 is 33232113013312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 97523794944 + 21233507328289 = 312288^2 + 4607983^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331031123233 - 213 = 21331031115041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21331031123333) 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 15 ways as a sum of consecutive naturals, for example, 2870191 + ... + 7134427.

It is an arithmetic number, because the mean of its divisors is an integer number (1440619505325).

Almost surely, 221331031123233 is an apocalyptic number.

It is an amenable number.

21331031123233 is a deficient number, since it is larger than the sum of its proper divisors (1718880961967).

21331031123233 is a wasteful number, since it uses less digits than its factorization.

21331031123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265556.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 21331031123233 its reverse (33232113013312), we get a palindrome (54563144136545).

The spelling of 21331031123233 in words is "twenty-one trillion, three hundred thirty-one billion, thirty-one million, one hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 449 857 5837 11141 384793 4264237 5002309 55435081 1914642413 3654451109 24890351369 47507864417 1640848547941 21331031123233