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233131405350340 = 22572237889189133
BaseRepresentation
bin110101000000100000100010…
…100110100001010111000100
31010120110010220110221112101001
4311000200202212201113010
5221024111104232202330
62143455031124543044
7100051121361223600
oct6500404246412704
91116403813845331
10233131405350340
1168312523662772
1222192517b51a84
13a0112743056a3
14417d897c78500
151be44399c09ca
hexd408229a15c4

233131405350340 has 36 divisors (see below), whose sum is σ = 569506718786796. Its totient is φ = 79930767548352.

The previous prime is 233131405350323. The next prime is 233131405350341. The reversal of 233131405350340 is 43053504131332.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91375092777024 + 141756312573316 = 9559032^2 + 11906146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 233131405350340.

It is not an unprimeable number, because it can be changed into a prime (233131405350341) 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 11 ways as a sum of consecutive naturals, for example, 118944593587 + ... + 118944595546.

It is an arithmetic number, because the mean of its divisors is an integer number (15819631077411).

Almost surely, 2233131405350340 is an apocalyptic number.

233131405350340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131405350340 is an abundant number, since it is smaller than the sum of its proper divisors (336375313436456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233131405350340 is a wasteful number, since it uses less digits than its factorization.

233131405350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237889189156 (or 237889189147 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 233131405350340 its reverse (43053504131332), we get a palindrome (276184909481672).

The spelling of 233131405350340 in words is "two hundred thirty-three trillion, one hundred thirty-one billion, four hundred five million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 237889189133 475778378266 951556756532 1189445945665 1665224323931 2378891891330 3330448647862 4757783782660 6660897295724 8326121619655 11656570267517 16652243239310 23313140535034 33304486478620 46626281070068 58282851337585 116565702675170 233131405350340