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112011010000 = 245411201101
BaseRepresentation
bin110100001010001100…
…0000101111111010000
3101201010020110212110221
41220110120011333100
53313344304310000
6123242424402424
711043510606241
oct1502430057720
9351106425427
10112011010000
114355a32774a
1219860316414
13a74102a756
1455c8306cc8
152da893261a
hex1a14605fd0

112011010000 has 50 divisors (see below), whose sum is σ = 271189880522. Its totient is φ = 44804400000.

The previous prime is 112011009991. The next prime is 112011010043. The reversal of 112011010000 is 10110211.

It can be written as a sum of positive squares in 5 ways, for example, as 60079892544 + 51931117456 = 245112^2 + 227884^2 .

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

It is a super-2 number, since 2×1120110100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5590551 + ... + 5610550.

Almost surely, 2112011010000 is an apocalyptic number.

112011010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011010000 is an abundant number, since it is smaller than the sum of its proper divisors (159178870522).

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

112011010000 is an equidigital number, since it uses as much as digits as its factorization.

112011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201129 (or 11201108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112011010000 its reverse (10110211), we get a palindrome (112021120211).

It can be divided in two parts, 11201 and 1010000, that added together give a palindrome (1021201).

The spelling of 112011010000 in words is "one hundred twelve billion, eleven 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 11201101 22402202 44804404 56005505 89608808 112011010 179217616 224022020 280027525 448044040 560055050 896088080 1120110100 1400137625 2240220200 2800275250 4480440400 5600550500 7000688125 11201101000 14001376250 22402202000 28002752500 56005505000 112011010000