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233012001022133 = 13712072114088829
BaseRepresentation
bin110100111110110001010101…
…100011001010000010110101
31010120000201200222122011221212
4310332301111203022002311
5221020132034230202013
62143324122511451205
7100036363414202624
oct6476612543120265
91116021628564855
10233012001022133
116827691aa6a693
1222173353826b05
13a002c2565cb48
144177babaad6bb
151be129be806a8
hexd3ec558ca0b5

233012001022133 has 8 divisors (see below), whose sum is σ = 234714779465880. Its totient is φ = 231309250997760.

The previous prime is 233012001022127. The next prime is 233012001022201. The reversal of 233012001022133 is 331220100210332.

233012001022133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6204846848209 + 226807154173924 = 2490953^2 + 15060118^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233012001022133 - 210 = 233012001021109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233012001022099 and 233012001022108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233012001522133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9494363 + ... + 23583191.

It is an arithmetic number, because the mean of its divisors is an integer number (29339347433235).

Almost surely, 2233012001022133 is an apocalyptic number.

It is an amenable number.

233012001022133 is a deficient number, since it is larger than the sum of its proper divisors (1702778443747).

233012001022133 is a wasteful number, since it uses less digits than its factorization.

233012001022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14209687.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 233012001022133 its reverse (331220100210332), we get a palindrome (564232101232465).

The spelling of 233012001022133 in words is "two hundred thirty-three trillion, twelve billion, one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 137 120721 14088829 16538777 1930169573 1700817525709 233012001022133