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100112200 = 2352736857
BaseRepresentation
bin1011111011110…
…01011101001000
320222101020010021
411331321131020
5201112042300
613533430224
72323640206
oct575713510
9228336107
10100112200
1151568861
122963b374
13179828b6
14d420076
158bc7d1a
hex5f79748

100112200 has 48 divisors (see below), whose sum is σ = 235983780. Its totient is φ = 39490560.

The previous prime is 100112179. The next prime is 100112219. The reversal of 100112200 is 2211001.

Adding to 100112200 its reverse (2211001), we get a palindrome (102323201).

It can be written as a sum of positive squares in 6 ways, for example, as 10355524 + 89756676 = 3218^2 + 9474^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11172 + ... + 18028.

Almost surely, 2100112200 is an apocalyptic number.

100112200 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 100112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117991890).

100112200 is an abundant number, since it is smaller than the sum of its proper divisors (135871580).

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

100112200 is a wasteful number, since it uses less digits than its factorization.

100112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100112200 is about 10005.6084272772. The cubic root of 100112200 is about 464.3324138994.

The spelling of 100112200 in words is "one hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 6857 7300 13714 14600 27428 34285 54856 68570 137140 171425 274280 342850 500561 685700 1001122 1371400 2002244 2502805 4004488 5005610 10011220 12514025 20022440 25028050 50056100 100112200