Search a number
-
+
112000011192 = 23322322940559
BaseRepresentation
bin110100001001110111…
…0001000101110111000
3101201002110210001221200
41220103232020232320
53313334000324232
6123241352534200
711043315246606
oct1502356105670
9351073701850
10112000011192
11435540a5123
12198586b1360
13a73b979394
1455c6a82876
152da79ad77c
hex1a13b88bb8

112000011192 has 72 divisors (see below), whose sum is σ = 317095287600. Its totient is φ = 35710136352.

The previous prime is 112000011191. The next prime is 112000011271. The reversal of 112000011192 is 291110000211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000011191) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1432192 + ... + 1508367.

Almost surely, 2112000011192 is an apocalyptic number.

112000011192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112000011192 is an abundant number, since it is smaller than the sum of its proper divisors (205095276408).

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

112000011192 is a wasteful number, since it uses less digits than its factorization.

112000011192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940617 (or 2940587 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 112000011192 in words is "one hundred twelve billion, eleven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 12696 19044 38088 2940559 5881118 8821677 11762236 17643354 23524472 26465031 35286708 52930062 67632857 70573416 105860124 135265714 202898571 211720248 270531428 405797142 541062856 608695713 811594284 1217391426 1555555711 1623188568 2434782852 3111111422 4666667133 4869565704 6222222844 9333334266 12444445688 14000001399 18666668532 28000002798 37333337064 56000005596 112000011192