Search a number
-
+
112012099969 = 71117223892459
BaseRepresentation
bin110100001010001110…
…0010000000110000001
3101201010022112020122011
41220110130100012001
53313400044144334
6123242504012521
711043523066060
oct1502434200601
9351108466564
10112012099969
114355aa01650
1219860761141
13a74131c8c3
1455c850c1d7
152da8a9a564
hex1a14710181

112012099969 has 96 divisors (see below), whose sum is σ = 156602419200. Its totient is φ = 77661788160.

The previous prime is 112012099769. The next prime is 112012099973. The reversal of 112012099969 is 969990210211.

It is not a de Polignac number, because 112012099969 - 217 = 112011968897 is a prime.

It is a super-2 number, since 2×1120120999692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112012099769) 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, 45550662 + ... + 45553120.

It is an arithmetic number, because the mean of its divisors is an integer number (1631275200).

Almost surely, 2112012099969 is an apocalyptic number.

It is an amenable number.

112012099969 is a deficient number, since it is larger than the sum of its proper divisors (44590319231).

112012099969 is a wasteful number, since it uses less digits than its factorization.

112012099969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 49.

The spelling of 112012099969 in words is "one hundred twelve billion, twelve million, ninety-nine thousand, nine hundred sixty-nine".

Divisors: 1 7 11 17 23 77 89 119 161 187 253 289 391 623 979 1309 1513 1771 2023 2047 2459 2737 3179 4301 6647 6853 10591 14329 16643 17213 22253 22517 25721 27049 30107 34799 41803 46529 56557 73117 116501 157619 180047 189343 218851 243593 282931 292621 382789 395899 459833 511819 591583 622127 710651 961469 1531957 1980517 2407361 2679523 3218831 3720467 4141081 4354889 4974557 5033573 6507413 6730283 7817161 10576159 16344973 16851527 26043269 35235011 40925137 45551891 54720127 55369303 63247939 74033113 85570741 114414811 179794703 286475959 387585121 442735573 598995187 695727329 941278151 1258562921 1454702597 4870091303 6588947057 10182918179 16001728567 112012099969