Search a number
-
+
234121121334 = 23475111531669
BaseRepresentation
bin1101101000001010110…
…1001100111000110110
3211101022022012020120000
43122002231030320312
512313440001340314
6255315340052130
722625511460602
oct3320255147066
9741268166500
10234121121334
11903212a6731
123945a834046
13191014330b9
14b48d9ac502
156153c9b209
hex3682b4ce36

234121121334 has 80 divisors (see below), whose sum is σ = 526073887680. Its totient is φ = 77822208000.

The previous prime is 234121121323. The next prime is 234121121357. The reversal of 234121121334 is 433121121432.

234121121334 is a `hidden beast` number, since 2 + 3 + 412 + 1 + 1 + 213 + 34 = 666.

234121121334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 234121121298 and 234121121307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140275452 + ... + 140277120.

It is an arithmetic number, because the mean of its divisors is an integer number (6575923596).

Almost surely, 2234121121334 is an apocalyptic number.

234121121334 is an abundant number, since it is smaller than the sum of its proper divisors (291952766346).

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

234121121334 is a wasteful number, since it uses less digits than its factorization.

234121121334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3578 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 234121121334 its reverse (433121121432), we get a palindrome (667242242766).

The spelling of 234121121334 in words is "two hundred thirty-four billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 751 1153 1502 1669 2253 2306 3338 3459 4506 5007 6759 6918 10014 10377 13518 15021 20277 20754 30042 31131 40554 45063 60831 62262 90126 93393 121662 135189 186786 270378 865903 1253419 1731806 1924357 2506838 2597709 3760257 3848714 5195418 5773071 7520514 7793127 11280771 11546142 15586254 17319213 22561542 23379381 33842313 34638426 46758762 51957639 67684626 70138143 101526939 103915278 140276286 155872917 203053878 311745834 1445192107 2890384214 4335576321 8671152642 13006728963 26013457926 39020186889 78040373778 117060560667 234121121334