Search a number
-
+
161601115111161 = 311257143913241479
BaseRepresentation
bin100100101111100110110001…
…000011111011111011111001
3210012011220201120021001011120
4210233212301003323323321
5132140133040432024121
61331410305530415453
746016203165156005
oct4457466103737371
9705156646231146
10161601115111161
1147544714603240
121615b466591589
136c22bc595c24b
142bc976dd89705
1513a39387c4bc6
hex92f9b10fbef9

161601115111161 has 32 divisors (see below), whose sum is σ = 236134783180800. Its totient is φ = 97491176263680.

The previous prime is 161601115111151. The next prime is 161601115111181. The reversal of 161601115111161 is 161111511106161.

It is not a de Polignac number, because 161601115111161 - 211 = 161601115109113 is a prime.

It is a super-2 number, since 2×1616011151111612 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (161601115111151) 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 31 ways as a sum of consecutive naturals, for example, 5583420 + ... + 18824898.

It is an arithmetic number, because the mean of its divisors is an integer number (7379211974400).

Almost surely, 2161601115111161 is an apocalyptic number.

161601115111161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161601115111161 is a deficient number, since it is larger than the sum of its proper divisors (74533668069639).

161601115111161 is a wasteful number, since it uses less digits than its factorization.

161601115111161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243189.

The product of its (nonzero) digits is 1080, while the sum is 33.

The spelling of 161601115111161 in words is "one hundred sixty-one trillion, six hundred one billion, one hundred fifteen million, one hundred eleven thousand, one hundred sixty-one".

Divisors: 1 3 11 33 257 771 1439 2827 4317 8481 15829 47487 369823 1109469 4068053 12204159 13241479 39724437 145656269 436968807 3403060103 10209180309 19054488281 37433661133 57163464843 112300983399 209599371091 628798113273 4897003488217 14691010464651 53867038370387 161601115111161