Search a number
-
+
334132223243133 = 37257166513718139
BaseRepresentation
bin100101111111001000011100…
…0011110010111001101111101
31121211001201200010200202010110
41023332100320132113031331
5322243410243122240013
63142350120240300233
7130244153656203240
oct11376207036271575
91554051603622113
10334132223243133
1197512753236797
1231585091611679
13114596c1cc32a3
145c7212b999257
15289682c7152c3
hex12fe43879737d

334132223243133 has 32 divisors (see below), whose sum is σ = 511165841863680. Its totient is φ = 190178296934400.

The previous prime is 334132223243131. The next prime is 334132223243197. The reversal of 334132223243133 is 331342322231433.

It is not a de Polignac number, because 334132223243133 - 21 = 334132223243131 is a prime.

It is a super-2 number, since 2×3341322232431332 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334132223243091 and 334132223243100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334132223243131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88006378 + ... + 91724516.

It is an arithmetic number, because the mean of its divisors is an integer number (15973932558240).

Almost surely, 2334132223243133 is an apocalyptic number.

It is an amenable number.

334132223243133 is a deficient number, since it is larger than the sum of its proper divisors (177033618620547).

334132223243133 is a wasteful number, since it uses less digits than its factorization.

334132223243133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735057.

The product of its digits is 559872, while the sum is 39.

Adding to 334132223243133 its reverse (331342322231433), we get a palindrome (665474545474566).

The spelling of 334132223243133 in words is "three hundred thirty-four trillion, one hundred thirty-two billion, two hundred twenty-three million, two hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 21 257 771 1799 5397 16651 49953 116557 349671 3718139 4279307 11154417 12837921 26026973 29955149 78080919 89865447 955561723 2866685169 6688932061 20066796183 61910732489 185732197467 433375127423 1300125382269 15911058249673 47733174749019 111377407747711 334132223243133