Search a number
-
+
331121322031331 = 13219407325318177
BaseRepresentation
bin100101101001001110011000…
…0110001101111100011100011
31121102101220000020212112101002
41023102130300301233203203
5321400042431420000311
63132123011350102215
7126513504016160426
oct11322346061574343
91542356006775332
10331121322031331
1196561844a76267
123117964494a96b
131129b7b6b76b00
145baa500d899bd
15284335ae4793b
hex12d2730c6f8e3

331121322031331 has 24 divisors (see below), whose sum is σ = 377515301249520. Its totient is φ = 289492480382976.

The previous prime is 331121322031271. The next prime is 331121322031349. The reversal of 331121322031331 is 133130223121133.

It is not a de Polignac number, because 331121322031331 - 222 = 331121317837027 is a prime.

It is a super-2 number, since 2×3311213220313312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331121322031294 and 331121322031303.

It is not an unprimeable number, because it can be changed into a prime (331121322031351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419315 + ... + 25737491.

It is an arithmetic number, because the mean of its divisors is an integer number (15729804218730).

Almost surely, 2331121322031331 is an apocalyptic number.

331121322031331 is a deficient number, since it is larger than the sum of its proper divisors (46393979218189).

331121322031331 is a wasteful number, since it uses less digits than its factorization.

331121322031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25322295 (or 25322282 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 331121322031331 its reverse (133130223121133), we get a palindrome (464251545152464).

The spelling of 331121322031331 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 13 19 169 247 3211 4073 52949 77387 688337 1006031 13078403 25318177 329136301 481045363 4278771913 6253589719 81296666347 103120934921 1340572153973 1959297763499 17427438001649 25470870925487 331121322031331