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112212001100 = 225273109141023
BaseRepresentation
bin110100010000001011…
…0110100000101001100
3101201122020200021102202
41220200112310011030
53314302233013400
6123314404341032
711051501162153
oct1504026640514
9351566607382
10112212001100
11436528272a1
12198b76a4778
13a773870bb4
145606ca659a
152dbb3d54d5
hex1a205b414c

112212001100 has 72 divisors (see below), whose sum is σ = 249101973120. Its totient is φ = 43863482880.

The previous prime is 112212001093. The next prime is 112212001207. The reversal of 112212001100 is 1100212211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725189 + ... + 866211.

Almost surely, 2112212001100 is an apocalyptic number.

112212001100 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 112212001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124550986560).

112212001100 is an abundant number, since it is smaller than the sum of its proper divisors (136889972020).

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

112212001100 is a wasteful number, since it uses less digits than its factorization.

112212001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141219 (or 141212 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112212001100 its reverse (1100212211), we get a palindrome (113312213311).

The spelling of 112212001100 in words is "one hundred twelve billion, two hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 109 146 218 292 365 436 545 730 1090 1460 1825 2180 2725 3650 5450 7300 7957 10900 15914 31828 39785 79570 141023 159140 198925 282046 397850 564092 705115 795700 1410230 2820460 3525575 7051150 10294679 14102300 15371507 20589358 30743014 41178716 51473395 61486028 76857535 102946790 153715070 205893580 257366975 307430140 384287675 514733950 768575350 1029467900 1122120011 1537150700 2244240022 4488480044 5610600055 11221200110 22442400220 28053000275 56106000550 112212001100