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13301321121 = 351171109643
BaseRepresentation
bin11000110001101001…
…00000110110100001
31021022222210010100000
430120310200312201
5204220114233441
610035513250213
7650422235604
oct143064406641
937288703300
1013301321121
115706281480
1226b2703969
13133c942c1a
149027a433b
1552cb222b6
hex318d20da1

13301321121 has 96 divisors (see below), whose sum is σ = 22278896640. Its totient is φ = 7862702400.

The previous prime is 13301321113. The next prime is 13301321141. The reversal of 13301321121 is 12112310331.

13301321121 is a `hidden beast` number, since 1 + 330 + 1 + 321 + 12 + 1 = 666.

It is not a de Polignac number, because 13301321121 - 23 = 13301321113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13301321094 and 13301321103.

It is not an unprimeable number, because it can be changed into a prime (13301321141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20686026 + ... + 20686668.

It is an arithmetic number, because the mean of its divisors is an integer number (232071840).

Almost surely, 213301321121 is an apocalyptic number.

13301321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13301321121 is a deficient number, since it is larger than the sum of its proper divisors (8977575519).

13301321121 is a wasteful number, since it uses less digits than its factorization.

13301321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13301321121 its reverse (12112310331), we get a palindrome (25413631452).

The spelling of 13301321121 in words is "thirteen billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 71 81 99 109 213 243 297 327 639 643 781 891 981 1199 1917 1929 2343 2673 2943 3597 5751 5787 7029 7073 7739 8829 10791 17253 17361 21087 21219 23217 26487 32373 45653 52083 63261 63657 69651 70087 85129 97119 136959 156249 189783 190971 208953 210261 255387 291357 410877 502183 572913 626859 630783 766161 770957 1232631 1506549 1718739 1880577 1892349 2298483 2312871 3697893 4519647 4976177 5677047 6895449 6938613 11093679 13558941 14928531 17031141 20686347 20815839 40676823 44785593 54737947 62447517 122030469 134356779 164213841 187342551 403070337 492641523 1209211011 1477924569 4433773707 13301321121