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12114451033305 = 35171271129933107
BaseRepresentation
bin1011000001001001110110…
…0011001110110011011001
31120220010111220212222222220
42300102131203032303121
53041440343431031210
641433145120534253
72360145250521315
oct260223543166331
946803456788886
1012114451033305
113950789870135
121437a41181389
1369b5070aa2ba
142dc4b1da2b45
151601d0b82c70
hexb049d8cecd9

12114451033305 has 64 divisors (see below), whose sum is σ = 20687361638400. Its totient is φ = 6032381451264.

The previous prime is 12114451033301. The next prime is 12114451033309. The reversal of 12114451033305 is 50333015441121.

12114451033305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12114451033301) and next prime (12114451033309).

It is not a de Polignac number, because 12114451033305 - 22 = 12114451033301 is a prime.

It is a super-3 number, since 3×121144510333053 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114451033301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365901562 + ... + 365934668.

It is an arithmetic number, because the mean of its divisors is an integer number (323240025600).

Almost surely, 212114451033305 is an apocalyptic number.

12114451033305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12114451033305 is a deficient number, since it is larger than the sum of its proper divisors (8572910605095).

12114451033305 is a wasteful number, since it uses less digits than its factorization.

12114451033305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44558.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 12114451033305 its reverse (50333015441121), we get a palindrome (62447466474426).

The spelling of 12114451033305 in words is "twelve trillion, one hundred fourteen billion, four hundred fifty-one million, thirty-three thousand, three hundred five".

Divisors: 1 3 5 15 17 51 85 127 255 381 635 1905 2159 6477 10795 11299 32385 33107 33897 56495 99321 165535 169485 192083 496605 562819 576249 960415 1434973 1688457 2814095 2881245 4204589 4304919 7174865 8442285 12613767 21022945 21524595 24394541 63068835 71478013 73183623 121972705 214434039 357390065 365918115 374075993 1072170195 1122227979 1870379965 5611139895 6359291881 19077875643 31796459405 47507651111 95389378215 142522953333 237538255555 712614766665 807630068887 2422890206661 4038150344435 12114451033305