Search a number
-
+
12324233242321 = 72111319234024819
BaseRepresentation
bin1011001101010111010110…
…0010110110011011010001
31121122012000000010101112221
42303111311202312123101
53103410012202223241
642113401413421041
72411252663054200
oct263256542663321
947565000111487
1012324233242321
113a217504117a0
12147062893a781
136b5229c40820
143086d3313237
151658acce45d1
hexb35758b66d1

12324233242321 has 96 divisors (see below), whose sum is σ = 18500004633600. Its totient is φ = 8032892757120.

The previous prime is 12324233242309. The next prime is 12324233242327.

It is a happy number.

12324233242321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12324233242321 - 215 = 12324233209553 is a prime.

It is a super-2 number, since 2×123242332423212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12324233242327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049650 + ... + 5074468.

It is an arithmetic number, because the mean of its divisors is an integer number (192708381600).

Almost surely, 212324233242321 is an apocalyptic number.

12324233242321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12324233242321 is a deficient number, since it is larger than the sum of its proper divisors (6175771391279).

12324233242321 is a wasteful number, since it uses less digits than its factorization.

12324233242321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024899 (or 4024892 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 1232423 and 3242321, that added together give a palindrome (4474744).

The spelling of 12324233242321 in words is "twelve trillion, three hundred twenty-four billion, two hundred thirty-three million, two hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 7 11 13 19 23 49 77 91 133 143 161 209 247 253 299 437 539 637 931 1001 1127 1463 1729 1771 2093 2717 3059 3289 4807 5681 7007 10241 12103 12397 14651 19019 21413 23023 33649 39767 62491 133133 161161 235543 278369 437437 3062059 4024819 28173733 44273009 52322647 76471561 92570837 197216131 309911063 366258529 535300927 575549117 647995859 841187171 994130293 1018279207 1203420881 1758845903 2169377441 2563809703 3747106489 4028843819 4535971013 5888310197 6958912051 7127954449 8423946167 10935433223 12311921321 13237629691 19347304933 22864996739 28201906733 41218171379 48712384357 49895681143 58967623169 76548032561 86183449247 92663407837 135431134531 160054977173 251514964129 535836227927 648643854859 948017941717 1120384840211 1760604748903 12324233242321