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12343456521 = 3211373369767
BaseRepresentation
bin10110111111011101…
…00011001100001001
31011212020101120010100
423133232203030021
5200234411102041
65400455040013
7614611435464
oct133756431411
934766346110
1012343456521
115264617640
122485970009
131219369536
148514a42db
154c39b56b6
hex2dfba3309

12343456521 has 24 divisors (see below), whose sum is σ = 19975984704. Its totient is φ = 7278694560.

The previous prime is 12343456481. The next prime is 12343456523. The reversal of 12343456521 is 12565434321.

12343456521 is a `hidden beast` number, since 1 + 234 + 345 + 65 + 21 = 666.

It is not a de Polignac number, because 12343456521 - 215 = 12343423753 is a prime.

It is a super-3 number, since 3×123434565213 (a number of 31 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12343456523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681221 + ... + 1688546.

It is an arithmetic number, because the mean of its divisors is an integer number (832332696).

Almost surely, 212343456521 is an apocalyptic number.

12343456521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12343456521 is a deficient number, since it is larger than the sum of its proper divisors (7632528183).

12343456521 is a wasteful number, since it uses less digits than its factorization.

12343456521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369821 (or 3369818 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

It can be divided in two parts, 12343 and 456521, that added together give a palindrome (468864).

The spelling of 12343456521 in words is "twelve billion, three hundred forty-three million, four hundred fifty-six thousand, five hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 3369767 10109301 30327903 37067437 111202311 124681379 333606933 374044137 1122132411 1371495169 4114485507 12343456521