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112102010000 = 245411210201
BaseRepresentation
bin110100001100111001…
…1001110110010010000
3101201100120201011000022
41220121303032302100
53314041103310000
6123255435043012
711045664235331
oct1503163166220
9351316634008
10112102010000
11435a6731362
12198868a0468
13a756b3c8c6
1455d6434288
152db190a585
hex1a19ccec90

112102010000 has 50 divisors (see below), whose sum is σ = 271410200622. Its totient is φ = 44840800000.

The previous prime is 112102009997. The next prime is 112102010021. The reversal of 112102010000 is 10201211.

It can be written as a sum of positive squares in 5 ways, for example, as 21370931344 + 90731078656 = 146188^2 + 301216^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 112102010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5595101 + ... + 5615100.

Almost surely, 2112102010000 is an apocalyptic number.

112102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102010000 is an abundant number, since it is smaller than the sum of its proper divisors (159308190622).

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

112102010000 is an equidigital number, since it uses as much as digits as its factorization.

112102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210229 (or 11210208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112102010000 its reverse (10201211), we get a palindrome (112112211211).

The spelling of 112102010000 in words is "one hundred twelve billion, one hundred two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11210201 22420402 44840804 56051005 89681608 112102010 179363216 224204020 280255025 448408040 560510050 896816080 1121020100 1401275125 2242040200 2802550250 4484080400 5605100500 7006375625 11210201000 14012751250 22420402000 28025502500 56051005000 112102010000