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12323400432321 = 3112617142696361
BaseRepresentation
bin1011001101010100001111…
…1001111011101011000001
31121122002211222001021000010
42303111003321323223001
53103401311002313241
642113143023415133
72411223231226536
oct263250371735301
947562758037003
1012323400432321
113a21363301270
121470435a544a9
136b5126540944
14308654886d8d
1516585eb3ad16
hexb3543e7bac1

12323400432321 has 16 divisors (see below), whose sum is σ = 17931795634368. Its totient is φ = 7465873555200.

The previous prime is 12323400432319. The next prime is 12323400432337.

It is a happy number.

12323400432321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12323400432321 - 21 = 12323400432319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12323400432341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71261820 + ... + 71434541.

It is an arithmetic number, because the mean of its divisors is an integer number (1120737227148).

Almost surely, 212323400432321 is an apocalyptic number.

12323400432321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12323400432321 is a deficient number, since it is larger than the sum of its proper divisors (5608395202047).

12323400432321 is a wasteful number, since it uses less digits than its factorization.

12323400432321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142698992.

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

It can be divided in two parts, 12323400 and 432321, that added together give a palindrome (12755721).

The spelling of 12323400432321 in words is "twelve trillion, three hundred twenty-three billion, four hundred million, four hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 2617 7851 28787 86361 142696361 428089083 1569659971 4708979913 373436376737 1120309130211 4107800144107 12323400432321