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112220101000 = 2353773321871
BaseRepresentation
bin110100010000011010…
…1101101100110001000
3101201122210220210102001
41220200311231212020
53314311321213000
6123315254120344
711051630056060
oct1504065554610
9351583823361
10112220101000
1143657359927
12198ba3500b4
13a775448937
145607db43a0
152dbbe8546a
hex1a20d6d988

112220101000 has 128 divisors (see below), whose sum is σ = 300531778560. Its totient is φ = 38421216000.

The previous prime is 112220100997. The next prime is 112220101001. The reversal of 112220101000 is 101022211.

112220101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112220101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5120065 + ... + 5141935.

It is an arithmetic number, because the mean of its divisors is an integer number (2347904520).

Almost surely, 2112220101000 is an apocalyptic number.

112220101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150265889280).

112220101000 is an abundant number, since it is smaller than the sum of its proper divisors (188311677560).

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

112220101000 is a wasteful number, since it uses less digits than its factorization.

112220101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22632 (or 22618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112220101000 its reverse (101022211), we get a palindrome (112321123211).

The spelling of 112220101000 in words is "one hundred twelve billion, two hundred twenty million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 733 875 1000 1400 1466 1750 2932 3500 3665 5131 5864 7000 7330 10262 14660 18325 20524 21871 25655 29320 36650 41048 43742 51310 73300 87484 91625 102620 109355 128275 146600 153097 174968 183250 205240 218710 256550 306194 366500 437420 513100 546775 612388 641375 733000 765485 874840 1026200 1093550 1224776 1282750 1530970 2187100 2565500 2733875 3061940 3827425 4374200 5131000 5467750 6123880 7654850 10935500 15309700 16031443 19137125 21871000 30619400 32062886 38274250 64125772 76548500 80157215 112220101 128251544 153097000 160314430 224440202 320628860 400786075 448880404 561100505 641257720 801572150 897760808 1122201010 1603144300 2003930375 2244402020 2805502525 3206288600 4007860750 4488804040 5611005050 8015721500 11222010100 14027512625 16031443000 22444020200 28055025250 56110050500 112220101000