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12160344105 = 345713329951
BaseRepresentation
bin10110101001101000…
…00010000000101001
31011101110211111010000
423110310002000221
5144401022002410
65330354213213
7610226135160
oct132464020051
934343744100
1012160344105
115180219568
122434584209
1311ba445ab0
1483503a3d7
154b2894dc0
hex2d4d02029

12160344105 has 80 divisors (see below), whose sum is σ = 26829057024. Its totient is φ = 5131382400.

The previous prime is 12160344041. The next prime is 12160344149. The reversal of 12160344105 is 50144306121.

It is a happy number.

12160344105 is a `hidden beast` number, since 1 + 2 + 1 + 603 + 44 + 10 + 5 = 666.

It is not a de Polignac number, because 12160344105 - 26 = 12160344041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128121 + ... + 201830.

Almost surely, 212160344105 is an apocalyptic number.

12160344105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12160344105 is an abundant number, since it is smaller than the sum of its proper divisors (14668712919).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12160344105 is a wasteful number, since it uses less digits than its factorization.

12160344105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329988 (or 329979 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12160344105 in words is "twelve billion, one hundred sixty million, three hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 567 585 819 945 1053 1365 1755 2457 2835 4095 5265 7371 12285 36855 329951 989853 1649755 2309657 2969559 4289363 4949265 6928971 8908677 11548285 12868089 14847795 20786913 21446815 26726031 30025541 34644855 38604267 44543385 62360739 64340445 90076623 103934565 115812801 133630155 150127705 187082217 193021335 270229869 311803695 347438403 450383115 579064005 810689607 935411085 1351149345 1737192015 2432068821 4053448035 12160344105