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233213104204431 = 313411271148420047
BaseRepresentation
bin110101000001101100101000…
…001110111010101010001111
31010120201221210012202100001220
4311001230220032322222033
5221031430414134020211
62144000342050534423
7100060043062065561
oct6501545016725217
91116657705670056
10233213104204431
1168344138519a9a
12221a6318897413
13a018b943a52c0
1441838084bb331
151be661c1b8806
hexd41b283baa8f

233213104204431 has 32 divisors (see below), whose sum is σ = 345738745970688. Its totient is φ = 138912888764160.

The previous prime is 233213104204403. The next prime is 233213104204441. The reversal of 233213104204431 is 134402401312332.

233213104204431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233213104204431 - 211 = 233213104202383 is a prime.

It is a super-2 number, since 2×2332131042044312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233213104204392 and 233213104204401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233213104204441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574006951 + ... + 574413096.

It is an arithmetic number, because the mean of its divisors is an integer number (10804335811584).

Almost surely, 2233213104204431 is an apocalyptic number.

233213104204431 is a deficient number, since it is larger than the sum of its proper divisors (112525641766257).

233213104204431 is a wasteful number, since it uses less digits than its factorization.

233213104204431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148420231.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 233213104204431 its reverse (134402401312332), we get a palindrome (367615505516763).

The spelling of 233213104204431 in words is "two hundred thirty-three trillion, two hundred thirteen billion, one hundred four million, two hundred four thousand, four hundred thirty-one".

Divisors: 1 3 13 39 41 123 127 381 533 1599 1651 4953 5207 15621 67691 203073 1148420047 3445260141 14929460611 44788381833 47085221927 141255665781 145849345969 437548037907 612107885051 1836323655153 1896041497597 5688124492791 5979823184729 17939469554187 77737701401477 233213104204431