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13323331300321 = 7238913711935689
BaseRepresentation
bin1100000111100001010001…
…1011011110101111100001
31202011200211212101102012201
43001320110123132233201
53221242140303102241
644200353124253201
72543402366325550
oct301702433365741
952150755342181
1013323331300321
1142774361a9279
1215b2198841201
137585003b2a73
14340bd1a55d97
15181885298931
hexc1e146debe1

13323331300321 has 64 divisors (see below), whose sum is σ = 16200910310400. Its totient is φ = 10711032938496.

The previous prime is 13323331300273. The next prime is 13323331300327. The reversal of 13323331300321 is 12300313332331.

It is a cyclic number.

It is not a de Polignac number, because 13323331300321 - 213 = 13323331292129 is a prime.

It is a super-2 number, since 2×133233313003212 (a number of 27 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 13323331300321.

It is not an unprimeable number, because it can be changed into a prime (13323331300327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2341943245 + ... + 2341948933.

It is an arithmetic number, because the mean of its divisors is an integer number (253139223600).

Almost surely, 213323331300321 is an apocalyptic number.

It is an amenable number.

13323331300321 is a deficient number, since it is larger than the sum of its proper divisors (2877579010079).

13323331300321 is a wasteful number, since it uses less digits than its factorization.

13323331300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13323331300321 its reverse (12300313332331), we get a palindrome (25623644632652).

The spelling of 13323331300321 in words is "thirteen trillion, three hundred twenty-three billion, three hundred thirty-one million, three hundred thousand, three hundred twenty-one".

Divisors: 1 7 23 89 137 161 623 959 1193 2047 3151 5689 8351 12193 14329 22057 27439 39823 85351 106177 130847 163441 192073 280439 506321 743239 779393 915929 1144087 1963073 2442071 3544247 3759143 5455751 6786977 11645383 14546249 17094497 17926039 26314001 47508839 69365977 81517681 101823743 125482273 156100471 334563727 485561839 604040953 929815849 1092703297 1595417471 2341946089 4228286671 6508710943 11167922297 13892941919 21385764527 82753610561 97250593433 149700351689 579275273927 1903333042903 13323331300321