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13300123221 = 3271123834439
BaseRepresentation
bin11000110001011111…
…11100011001010101
31021022220112021010100
430120233330121111
5204214312420341
610035431444313
7650406116310
oct143057743125
937286467110
1013300123221
115705633480
1226b2226699
13133c6138c8
14902571977
1552c9873b6
hex318bfc655

13300123221 has 48 divisors (see below), whose sum is σ = 24993146880. Its totient is φ = 6608748960.

The previous prime is 13300123183. The next prime is 13300123241. The reversal of 13300123221 is 12232100331.

13300123221 is a `hidden beast` number, since 1 + 330 + 0 + 12 + 322 + 1 = 666.

It is not a de Polignac number, because 13300123221 - 26 = 13300123157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300123194 and 13300123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300123241) 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 47 ways as a sum of consecutive naturals, for example, 401281 + ... + 433158.

It is an arithmetic number, because the mean of its divisors is an integer number (520690560).

Almost surely, 213300123221 is an apocalyptic number.

13300123221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13300123221 is a deficient number, since it is larger than the sum of its proper divisors (11693023659).

13300123221 is a wasteful number, since it uses less digits than its factorization.

13300123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834486 (or 834483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13300123221 its reverse (12232100331), we get a palindrome (25532223552).

The spelling of 13300123221 in words is "thirteen billion, three hundred million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 15939 834439 2503317 5841073 7509951 9178829 17523219 19192097 27536487 52569657 57576291 64251803 82609461 134344679 172728873 192755409 211113067 403034037 578266227 633339201 1209102111 1477791469 1900017603 4433374407 13300123221