Search a number
-
+
12234042442331 = 1923671273290107
BaseRepresentation
bin1011001000000111010111…
…0000010000001001011011
31121022120012110020001001022
42302001311300100021123
53100420304331123311
642004124055513055
72401610655651353
oct262016560201133
947276173201038
1012234042442331
113997479021866
12145705808878b
136a9885735958
143041b8d49b63
1516337ed295db
hexb2075c1025b

12234042442331 has 32 divisors (see below), whose sum is σ = 13745808015360. Its totient is φ = 10834766512416.

The previous prime is 12234042442289. The next prime is 12234042442339. The reversal of 12234042442331 is 13324424043221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12234042442331 - 214 = 12234042425947 is a prime.

It is a super-2 number, since 2×122340424423312 (a number of 27 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 = 12234042442291 and 12234042442300.

It is not an unprimeable number, because it can be changed into a prime (12234042442339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2073380 + ... + 5363486.

It is an arithmetic number, because the mean of its divisors is an integer number (429556500480).

Almost surely, 212234042442331 is an apocalyptic number.

12234042442331 is a deficient number, since it is larger than the sum of its proper divisors (1511765573029).

12234042442331 is a wasteful number, since it uses less digits than its factorization.

12234042442331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290343.

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 12234042442331 its reverse (13324424043221), we get a palindrome (25558466485552).

The spelling of 12234042442331 in words is "twelve trillion, two hundred thirty-four billion, forty-two million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 19 23 67 127 437 1273 1541 2413 2921 8509 29279 55499 161671 195707 3290107 3718433 62512033 75672461 220437169 417843589 1437776759 4188306211 5070054887 7939028191 9610402547 27995520463 96331042853 182597648393 531914888797 643896970649 12234042442331