Search a number
-
+
233401531433421 = 31331354734954849
BaseRepresentation
bin110101000100011100000111…
…010111110000000111001101
31010121101222011000211100012210
4311010130013113300013031
5221043022314021332141
62144223103332221033
7100106463350105451
oct6504340727600715
91117358130740183
10233401531433421
116840704080202a
122221694476a779
13a030892c15b80
14418c9a15d2661
151beb49965d916
hexd447075f01cd

233401531433421 has 32 divisors (see below), whose sum is σ = 336826053155200. Its totient is φ = 142911078395904.

The previous prime is 233401531433293. The next prime is 233401531433461. The reversal of 233401531433421 is 124334135104332.

It is a happy number.

It is not a de Polignac number, because 233401531433421 - 27 = 233401531433293 is a prime.

It is a super-2 number, since 2×2334015314334212 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233401531433421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233401531433461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10800196 + ... + 24154653.

It is an arithmetic number, because the mean of its divisors is an integer number (10525814161100).

Almost surely, 2233401531433421 is an apocalyptic number.

It is an amenable number.

233401531433421 is a deficient number, since it is larger than the sum of its proper divisors (103424521721779).

233401531433421 is a wasteful number, since it uses less digits than its factorization.

233401531433421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34955725.

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 233401531433421 its reverse (124334135104332), we get a palindrome (357735666537753).

The spelling of 233401531433421 in words is "two hundred thirty-three trillion, four hundred one billion, five hundred thirty-one million, four hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 13 39 313 547 939 1641 4069 7111 12207 21333 171211 513633 2225743 6677229 34954849 104864547 454413037 1363239111 10940867737 19120302403 32822603211 57360907209 142231280581 248563931239 426693841743 745691793717 5984654652139 17953963956417 77800510477807 233401531433421