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13322354033241 = 3211312472929611
BaseRepresentation
bin1100000111011101101000…
…1011100000001001011001
31202011121022202111002210200
43001313122023200021121
53221233140113030431
644200112134132413
72543336231565441
oct301673213401131
952147282432720
1013322354033241
114276a845a2030
1215b1b654b1109
137583a5aa4c16
14340b3bd45121
151818295a7ee6
hexc1dda2e0259

13322354033241 has 72 divisors (see below), whose sum is σ = 21697151842080. Its totient is φ = 7811781264000.

The previous prime is 13322354033239. The next prime is 13322354033243. The reversal of 13322354033241 is 14233045322331.

13322354033241 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 3 + 5 + 403 + 3 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (13322354033239) and next prime (13322354033243).

It is not a de Polignac number, because 13322354033241 - 21 = 13322354033239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13322354033196 and 13322354033205.

It is not an unprimeable number, because it can be changed into a prime (13322354033243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 449897526 + ... + 449927136.

It is an arithmetic number, because the mean of its divisors is an integer number (301349331140).

Almost surely, 213322354033241 is an apocalyptic number.

13322354033241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13322354033241 is a deficient number, since it is larger than the sum of its proper divisors (8374797808839).

13322354033241 is a wasteful number, since it uses less digits than its factorization.

13322354033241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34419 (or 34385 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13322354033241 its reverse (14233045322331), we get a palindrome (27555399355572).

The spelling of 13322354033241 in words is "thirteen trillion, three hundred twenty-two billion, three hundred fifty-four million, thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 961 1023 2883 3069 4729 8649 10571 14187 29611 31713 42561 52019 88833 95139 146599 156057 266499 325721 439797 468171 917941 977163 1319391 1612589 2753823 2931489 4544569 4837767 8261469 10097351 13633707 14513301 28456171 30292053 40901121 49990259 85368513 90876159 140030419 149970777 256105539 313017881 420091257 449912331 939053643 1260273771 1540334609 2817160929 4340942989 4621003827 13022828967 13863011481 39068486901 47750372879 134569232659 143251118637 403707697977 429753355911 1211123093931 1480261559249 4440784677747 13322354033241