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13301022321121 = 172711463944281
BaseRepresentation
bin1100000110001110001010…
…1101011110100111100001
31202002120021010002211221211
43001203202231132213201
53220410443203233441
644142223313350121
72541652506202063
oct301434255364741
952076233084854
1013301022321121
114268a28385a87
1215a99b1568341
1375638653ac62
1433dab6c45733
15180ecb985a81
hexc18e2b5e9e1

13301022321121 has 24 divisors (see below), whose sum is σ = 14329768561920. Its totient is φ = 12341168985600.

The previous prime is 13301022321109. The next prime is 13301022321221. The reversal of 13301022321121 is 12112322010331.

13301022321121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13301022321121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13301022321092 and 13301022321101.

It is not an unprimeable number, because it can be changed into a prime (13301022321221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300355501 + ... + 300399781.

It is an arithmetic number, because the mean of its divisors is an integer number (597073690080).

Almost surely, 213301022321121 is an apocalyptic number.

It is an amenable number.

13301022321121 is a deficient number, since it is larger than the sum of its proper divisors (1028746240799).

13301022321121 is a wasteful number, since it uses less digits than its factorization.

13301022321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59025 (or 59008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13301022321121 its reverse (12112322010331), we get a palindrome (25413344331452).

The spelling of 13301022321121 in words is "thirteen trillion, three hundred one billion, twenty-two million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 17 71 289 1207 14639 20519 44281 248863 752777 1039369 3143951 4230671 12797209 17669273 53447167 300377641 648229559 908601839 11019902503 46024298689 187338342551 782413077713 13301022321121