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13411532332305 = 335146323678941
BaseRepresentation
bin1100001100101001110110…
…0111101101110100010001
31202111010111202012002011000
43003022131213231310101
53224213304234113210
644305101202412213
72552644162613442
oct303123547556421
952433452162130
1013411532332305
114300887400038
1216072b3061069
137639185b6913
1434519ba692c9
15183ce8722ac0
hexc329d9edd11

13411532332305 has 32 divisors (see below), whose sum is σ = 23842922209920. Its totient is φ = 7152757824960.

The previous prime is 13411532332301. The next prime is 13411532332309. The reversal of 13411532332305 is 50323323511431.

13411532332305 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 5 + 323 + 323 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13411532332301) and next prime (13411532332309).

It is not a de Polignac number, because 13411532332305 - 22 = 13411532332301 is a prime.

It is a super-2 number, since 2×134115323323052 (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 13411532332305.

It is not an unprimeable number, because it can be changed into a prime (13411532332301) 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 31 ways as a sum of consecutive naturals, for example, 19414135 + ... + 20093075.

It is an arithmetic number, because the mean of its divisors is an integer number (745091319060).

Almost surely, 213411532332305 is an apocalyptic number.

13411532332305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13411532332305 is a deficient number, since it is larger than the sum of its proper divisors (10431389877615).

13411532332305 is a wasteful number, since it uses less digits than its factorization.

13411532332305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825278 (or 825272 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 13411532332305 its reverse (50323323511431), we get a palindrome (63734855843736).

The spelling of 13411532332305 in words is "thirteen trillion, four hundred eleven billion, five hundred thirty-two million, three hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 146323 438969 678941 731615 1316907 2036823 2194845 3394705 3950721 6110469 6584535 10184115 18331407 19753605 30552345 91657035 99344683943 298034051829 496723419715 894102155487 1490170259145 2682306466461 4470510777435 13411532332305