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21331031311233 = 327248369685513
BaseRepresentation
bin1001101100110100001001…
…00010110100001110000001
32210112020010020200220022100
410312122010202310032001
510243441423003424413
6113211201314301013
74331054561342400
oct466320442641601
983466106626270
1021331031311233
116884492092696
12248611b287769
13bb967a3241a7
1453a5dabcd637
1526ed081eda73
hex1366848b4381

21331031311233 has 18 divisors (see below), whose sum is σ = 35841936965874. Its totient is φ = 12189160749024.

The previous prime is 21331031311217. The next prime is 21331031311237. The reversal of 21331031311233 is 33211313013312.

21331031311233 is a `hidden beast` number, since 2 + 1 + 3 + 310 + 3 + 1 + 311 + 2 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15744960512064 + 5586070799169 = 3967992^2 + 2363487^2 .

It is not a de Polignac number, because 21331031311233 - 24 = 21331031311217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21331031311197 and 21331031311206.

It is not an unprimeable number, because it can be changed into a prime (21331031311237) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24184842316 + ... + 24184843197.

Almost surely, 221331031311233 is an apocalyptic number.

It is an amenable number.

21331031311233 is a deficient number, since it is larger than the sum of its proper divisors (14510905654641).

21331031311233 is a wasteful number, since it uses less digits than its factorization.

21331031311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48369685533 (or 48369685523 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 21331031311233 its reverse (33211313013312), we get a palindrome (54542344324545).

The spelling of 21331031311233 in words is "twenty-one trillion, three hundred thirty-one billion, thirty-one million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 48369685513 145109056539 338587798591 435327169617 1015763395773 2370114590137 3047290187319 7110343770411 21331031311233