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12321310133331 = 333328913708577
BaseRepresentation
bin1011001101001100011101…
…0100000100110001010011
31121121220110021210001212000
42303103013110010301103
53103333020343231311
642112155353205043
72411120360045433
oct263230724046123
947556407701760
1012321310133331
113a20490399741
12146bb51a00783
136b4b8246b534
143084d70042c3
1516578b38d056
hexb34c7504c53

12321310133331 has 16 divisors (see below), whose sum is σ = 18254342464800. Its totient is φ = 8213959401984.

The previous prime is 12321310133311. The next prime is 12321310133339. The reversal of 12321310133331 is 13333101312321.

12321310133331 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 310 + 13 + 3 + 331 = 666.

It is not a de Polignac number, because 12321310133331 - 222 = 12321305939027 is a prime.

It is a super-2 number, since 2×123213101333312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12321310133295 and 12321310133304.

It is not an unprimeable number, because it can be changed into a prime (12321310133339) 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, 5955486 + ... + 7753091.

It is an arithmetic number, because the mean of its divisors is an integer number (1140896404050).

Almost surely, 212321310133331 is an apocalyptic number.

12321310133331 is a deficient number, since it is larger than the sum of its proper divisors (5933032331469).

12321310133331 is a wasteful number, since it uses less digits than its factorization.

12321310133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13741875 (or 13741869 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12321310133331 its reverse (13333101312321), we get a palindrome (25654411445652).

The spelling of 12321310133331 in words is "twelve trillion, three hundred twenty-one billion, three hundred ten million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 33289 99867 299601 898803 13708577 41125731 123377193 370131579 456344819753 1369034459259 4107103377777 12321310133331