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112210020100 = 22521122100201
BaseRepresentation
bin110100010000000111…
…1010000011100000100
3101201122002221122000101
41220200033100130010
53314301231120400
6123314254053444
711051445301513
oct1504017203404
9351562848011
10112210020100
11436516a3a02
12198b6aaa284
13a7733292c9
14560690c67a
152dbb14356a
hex1a203d0704

112210020100 has 18 divisors (see below), whose sum is σ = 243495743834. Its totient is φ = 44884008000.

The previous prime is 112210020061. The next prime is 112210020103. The reversal of 112210020100 is 1020012211.

112210020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5211684864 + 106998335236 = 72192^2 + 327106^2 .

It is a super-2 number, since 2×1122100201002 (a number of 23 digits) contains 22 as substring.

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 (112210020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561050001 + ... + 561050200.

Almost surely, 2112210020100 is an apocalyptic number.

112210020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210020100 is an abundant number, since it is smaller than the sum of its proper divisors (131285723734).

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

112210020100 is a wasteful number, since it uses less digits than its factorization.

112210020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122100215 (or 1122100208 counting only the distinct ones).

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

Adding to 112210020100 its reverse (1020012211), we get a palindrome (113230032311).

The spelling of 112210020100 in words is "one hundred twelve billion, two hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1122100201 2244200402 4488400804 5610501005 11221002010 22442004020 28052505025 56105010050 112210020100