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12310233201321 = 3116112671482627
BaseRepresentation
bin1011001100100011001100…
…0100111011101010101001
31121120211212022120121201220
42303020303010323222221
53103142324144420241
642103124300132253
72410246024505136
oct263106304735251
947524768517656
1012310233201321
113a16816795780
121469980237089
136b3b086190b3
14307b65c2958d
1516533dba4166
hexb323313baa9

12310233201321 has 32 divisors (see below), whose sum is σ = 18200805359616. Its totient is φ = 7337845704000.

The previous prime is 12310233201313. The next prime is 12310233201337.

12310233201321 is nontrivially palindromic in base 10.

12310233201321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12310233201321 - 23 = 12310233201313 is a prime.

It is a super-2 number, since 2×123102332013212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12310233201291 and 12310233201300.

It is not an unprimeable number, because it can be changed into a prime (12310233203321) 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, 25265410 + ... + 25748036.

It is an arithmetic number, because the mean of its divisors is an integer number (568775167488).

Almost surely, 212310233201321 is an apocalyptic number.

12310233201321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12310233201321 is a deficient number, since it is larger than the sum of its proper divisors (5890572158295).

12310233201321 is a wasteful number, since it uses less digits than its factorization.

12310233201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495373.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1231023 and 3201321, that added together give a palindrome (4432344).

The spelling of 12310233201321 in words is "twelve trillion, three hundred ten billion, two hundred thirty-three million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 61 183 671 2013 12671 38013 139381 418143 482627 772931 1447881 2318793 5308897 8502241 15926691 25506723 29440247 88320741 323842717 971528151 6115366717 18346100151 67269033887 201807101661 373037369737 1119112109211 4103411067107 12310233201321