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17434132100341 = 1117313297861511
BaseRepresentation
bin1111110110110011001101…
…0000000011010011110101
32021201200112122022221121221
43331230303100003103311
54241120100304202331
6101025044004110341
73446401021520245
oct375546320032365
967650478287557
1017434132100341
115611857077950
121b56a276953b1
1399605457b458
14443b60671b25
1520377d7d0711
hexfdb334034f5

17434132100341 has 16 divisors (see below), whose sum is σ = 20202159189888. Its totient is φ = 14869246579200.

The previous prime is 17434132100311. The next prime is 17434132100351. The reversal of 17434132100341 is 14300123143471.

It is a cyclic number.

It is not a de Polignac number, because 17434132100341 - 25 = 17434132100309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17434132100297 and 17434132100306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17434132100311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148872225 + ... + 148989286.

It is an arithmetic number, because the mean of its divisors is an integer number (1262634949368).

Almost surely, 217434132100341 is an apocalyptic number.

17434132100341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

17434132100341 is a deficient number, since it is larger than the sum of its proper divisors (2768027089547).

17434132100341 is a wasteful number, since it uses less digits than its factorization.

17434132100341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297861852.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 17434132100341 in words is "seventeen trillion, four hundred thirty-four billion, one hundred thirty-two million, one hundred thousand, three hundred forty-one".

Divisors: 1 11 17 187 313 3443 5321 58531 297861511 3276476621 5063645687 55700102557 93230652943 1025537182373 1584921100031 17434132100341