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12305304969 = 3294359197283
BaseRepresentation
bin10110111010111010…
…00000110110001001
31011202120121021000220
423131131000312021
5200200124224334
65353013220253
7613636236456
oct133535006611
934676537026
1012305304969
115245029831
122475031689
13121149c159
1484a3b282d
154c047b449
hex2dd740d89

12305304969 has 64 divisors (see below), whose sum is σ = 17814297600. Its totient is φ = 7539985152.

The previous prime is 12305304959. The next prime is 12305304983. The reversal of 12305304969 is 96940350321.

It is a happy number.

12305304969 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 12305304969 - 25 = 12305304937 is a prime.

It is a super-2 number, since 2×123053049692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12305304969.

It is not an unprimeable number, because it can be changed into a prime (12305304959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43481502 + ... + 43481784.

It is an arithmetic number, because the mean of its divisors is an integer number (278348400).

Almost surely, 212305304969 is an apocalyptic number.

It is an amenable number.

12305304969 is a deficient number, since it is larger than the sum of its proper divisors (5508992631).

12305304969 is a wasteful number, since it uses less digits than its factorization.

12305304969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614.

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 12305304969 in words is "twelve billion, three hundred five million, three hundred four thousand, nine hundred sixty-nine".

Divisors: 1 3 29 43 59 87 129 177 197 283 591 849 1247 1711 2537 3741 5133 5713 7611 8207 8471 11623 12169 16697 17139 24621 25413 34869 36507 50091 55751 73573 167253 220719 245659 337067 352901 484213 499789 717971 736977 1011201 1058703 1452639 1499367 1616779 2153913 2397293 3289309 4850337 7191879 9867927 14493881 20821159 43481643 62463477 69521497 95389961 141440287 208564491 286169883 424320861 4101768323 12305304969