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12153335316441 = 311550766875411
BaseRepresentation
bin1011000011011010101100…
…1110111111111111011001
31121000211212211112020200120
42300312223032333333121
53043110012320111231
641503055402023453
72363022656466264
oct260665316777731
947024784466616
1012153335316441
113966222a49620
1214434934a7b89
136a2092c68167
143003202ddcdb
1516120972bd96
hexb0dab3bffd9

12153335316441 has 16 divisors (see below), whose sum is σ = 17680788926208. Its totient is φ = 7364320149200.

The previous prime is 12153335316391. The next prime is 12153335316449. The reversal of 12153335316441 is 14461353335121.

It is a cyclic number.

It is not a de Polignac number, because 12153335316441 - 29 = 12153335315929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12153335316393 and 12153335316402.

It is not an unprimeable number, because it can be changed into a prime (12153335316449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33255975 + ... + 33619436.

It is an arithmetic number, because the mean of its divisors is an integer number (1105049307888).

Almost surely, 212153335316441 is an apocalyptic number.

12153335316441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12153335316441 is a deficient number, since it is larger than the sum of its proper divisors (5527453609767).

12153335316441 is a wasteful number, since it uses less digits than its factorization.

12153335316441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66880932.

The product of its digits is 388800, while the sum is 42.

The spelling of 12153335316441 in words is "twelve trillion, one hundred fifty-three billion, three hundred thirty-five million, three hundred sixteen thousand, four hundred forty-one".

Divisors: 1 3 11 33 5507 16521 60577 181731 66875411 200626233 735629521 2206888563 368282888377 1104848665131 4051111772147 12153335316441