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161130120026337 = 327117310929220937
BaseRepresentation
bin100100101000110000000111…
…100100010001100011100001
3210010111220000002220200112200
4210220300013210101203201
5132104423441211320322
61330410053311243413
745640160404045260
oct4450600744214341
9703456002820480
10161130120026337
114738299a112920
12160a411b219569
136bba67499a697
142bb0a4cd825d7
15139656e25a8ac
hex928c079118e1

161130120026337 has 96 divisors (see below), whose sum is σ = 296847327279360. Its totient is φ = 81799919400960.

The previous prime is 161130120026251. The next prime is 161130120026353. The reversal of 161130120026337 is 733620021031161.

161130120026337 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 3 + 0 + 12 + 0 + 0 + 2 + 633 + 7 = 666.

It is not a de Polignac number, because 161130120026337 - 27 = 161130120026209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (161130120028337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9096268 + ... + 20124669.

It is an arithmetic number, because the mean of its divisors is an integer number (3092159659160).

Almost surely, 2161130120026337 is an apocalyptic number.

It is an amenable number.

161130120026337 is a deficient number, since it is larger than the sum of its proper divisors (135717207253023).

161130120026337 is a wasteful number, since it uses less digits than its factorization.

161130120026337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29221143 (or 29221140 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 161130120026337 its reverse (733620021031161), we get a palindrome (894750141057498).

The spelling of 161130120026337 in words is "one hundred sixty-one trillion, one hundred thirty billion, one hundred twenty million, twenty-six thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 11 21 33 63 73 77 99 109 219 231 327 511 657 693 763 803 981 1199 1533 2289 2409 3597 4599 5621 6867 7227 7957 8393 10791 16863 23871 25179 50589 55699 71613 75537 87527 167097 262581 501291 612689 787743 1838067 5514201 29220937 87662811 204546559 262988433 321430307 613639677 964290921 1840919031 2133128401 2250012149 2892872763 3185082133 6399385203 6750036447 9555246399 14931898807 19198155609 20250109341 22295574931 23464412411 28665739197 35035903463 44795696421 66886724793 70393237233 105107710389 134387089263 164250886877 200660174379 211179711699 232510995709 245251324241 315323131167 492752660631 697532987127 735753972723 1478257981893 1627576969963 2092598961381 2207261918169 2557620952799 4882730909889 7672862858397 14648192729667 17903346669593 23018588575191 53710040008779 161130120026337