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12322144122321 = 3116110375917829
BaseRepresentation
bin1011001101001111100100…
…0001011111010111010001
31121121222121102002002200010
42303103321001133113101
53103341222343403241
642112414224345133
72411150134613265
oct263237101372721
947558542062603
1012322144122321
113a20879134a40
1214701451751a9
136b4c86191c47
14308575a9a0a5
151657d96cad16
hexb34f905f5d1

12322144122321 has 64 divisors (see below), whose sum is σ = 18398576701440. Its totient is φ = 7272337248000.

The previous prime is 12322144122307. The next prime is 12322144122341.

12322144122321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12322144122321 - 26 = 12322144122257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12322144122341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573906435 + ... + 1573914263.

It is an arithmetic number, because the mean of its divisors is an integer number (287477760960).

Almost surely, 212322144122321 is an apocalyptic number.

12322144122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12322144122321 is a deficient number, since it is larger than the sum of its proper divisors (6076432579119).

12322144122321 is a wasteful number, since it uses less digits than its factorization.

12322144122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15598.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1232214 and 4122321, that added together give a palindrome (5354535).

The spelling of 12322144122321 in words is "twelve trillion, three hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 61 103 183 309 671 1133 2013 3399 6283 7591 7829 18849 22773 23487 69113 83501 86119 207339 250503 258357 463051 477569 781873 806387 1389153 1432707 2345619 2419161 5093561 5253259 8600603 8870257 15280683 15759777 25801809 26610771 47694253 49189607 59429939 143082759 147568821 178289817 524636783 541085677 653729329 1573910349 1623257031 1961187987 3625226279 6121283717 10875678837 18363851151 39877489069 67334120887 119632467207 202002362661 373398306737 1120194920211 4107381374107 12322144122321