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12304233240321 = 3113753892136353
BaseRepresentation
bin1011001100001100110101…
…1100111001011100000001
31121120021101011121000120010
42303003031130321130001
53103043032202142241
642100253044135133
72406644240621361
oct263031534713401
947507334530503
1012304233240321
113a14217991220
1214687869974a9
136b3390565009
1430775702a9a1
151650dc077d16
hexb30cd739701

12304233240321 has 64 divisors (see below), whose sum is σ = 18938009122560. Its totient is φ = 7038681661440.

The previous prime is 12304233240319. The next prime is 12304233240323.

It is a happy number.

12304233240321 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12304233240319) and next prime (12304233240323).

It is not a de Polignac number, because 12304233240321 - 21 = 12304233240319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12304233240323) 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, 4691281 + ... + 6827633.

It is an arithmetic number, because the mean of its divisors is an integer number (295906392540).

Almost surely, 212304233240321 is an apocalyptic number.

12304233240321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12304233240321 is a deficient number, since it is larger than the sum of its proper divisors (6633775882239).

12304233240321 is a wasteful number, since it uses less digits than its factorization.

12304233240321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136546.

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

It can be divided in two parts, 1230423 and 3240321, that added together give a palindrome (4470744).

The spelling of 12304233240321 in words is "twelve trillion, three hundred four billion, two hundred thirty-three million, two hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 11 33 37 53 89 111 159 267 407 583 979 1221 1749 1961 2937 3293 4717 5883 9879 14151 21571 36223 51887 64713 108669 155661 174529 523587 1919819 2136353 5759457 6409059 23499883 70499649 79045061 113226709 190135417 237135183 339680127 570406251 869495671 1245493799 2091489587 2608487013 3736481397 4189388233 6274468761 7035010429 10077177101 12568164699 21105031287 30231531303 46083270563 77385114719 110848948111 138249811689 232155344157 332546844333 372855552737 1118566658211 4101411080107 12304233240321