Search a number
-
+
12031022253321 = 322936417117613
BaseRepresentation
bin1010111100010011000011…
…0011101100010100001001
31120121011011121220212002200
42233010300303230110021
53034104013144101241
641330550400350413
72351132642554521
oct257046063542411
946534147825080
1012031022253321
113919367460995
121423839015409
1369369c7b3ab6
142d8439ac8681
1515ce4b6744b6
hexaf130cec509

12031022253321 has 24 divisors (see below), whose sum is σ = 17464660294536. Its totient is φ = 7980835983360.

The previous prime is 12031022253319. The next prime is 12031022253329. The reversal of 12031022253321 is 12335222013021.

12031022253321 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 102 + 2 + 2 + 533 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6842467187721 + 5188555065600 = 2615811^2 + 2277840^2 .

It is not a de Polignac number, because 12031022253321 - 21 = 12031022253319 is a prime.

It is a super-2 number, since 2×120310222533212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12031022253329) 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, 1868490 + ... + 5249123.

It is an arithmetic number, because the mean of its divisors is an integer number (727694178939).

Almost surely, 212031022253321 is an apocalyptic number.

It is an amenable number.

12031022253321 is a deficient number, since it is larger than the sum of its proper divisors (5433638041215).

12031022253321 is a wasteful number, since it uses less digits than its factorization.

12031022253321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118553 (or 7118550 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12031022253321 its reverse (12335222013021), we get a palindrome (24366244266342).

The spelling of 12031022253321 in words is "twelve trillion, thirty-one billion, twenty-two million, two hundred fifty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 293 641 879 1923 2637 5769 187813 563439 1690317 7117613 21352839 64058517 2085460609 4562389933 6256381827 13687169799 18769145481 41061509397 1336780250369 4010340751107 12031022253321