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12302344320321 = 3115317873936167
BaseRepresentation
bin1011001100000101110011…
…0111001111010101000001
31121120002111112020221110010
42303001130313033111001
53103030200121222241
642055341410055133
72406546363230106
oct263013467172501
947502445227403
1012302344320321
113a13438713710
12146833a27a4a9
136b314c110783
14307618208aad
1516502b307d16
hexb305cdcf541

12302344320321 has 32 divisors (see below), whose sum is σ = 18242154851328. Its totient is φ = 7311192175040.

The previous prime is 12302344320293. The next prime is 12302344320347.

It is a happy number.

12302344320321 is nontrivially palindromic in base 10.

12302344320321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12302344320321 - 215 = 12302344287553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12302344320361) 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, 1157380 + ... + 5093546.

It is an arithmetic number, because the mean of its divisors is an integer number (570067339104).

Almost surely, 212302344320321 is an apocalyptic number.

12302344320321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12302344320321 is a deficient number, since it is larger than the sum of its proper divisors (5939810531007).

12302344320321 is a wasteful number, since it uses less digits than its factorization.

12302344320321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938021.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1230234 and 4320321, that added together give a palindrome (5550555).

The spelling of 12302344320321 in words is "twelve trillion, three hundred two billion, three hundred forty-four million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 33 53 159 583 1749 1787 5361 19657 58971 94711 284133 1041821 3125463 3936167 11808501 43297837 129893511 208616851 625850553 2294785361 6884356083 7033930429 21101791287 77373234719 232119704157 372798312737 1118394938211 4100781440107 12302344320321