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2013330100 = 225220133301
BaseRepresentation
bin111100000000000…
…1111101010110100
312012022102202200111
41320000033222310
513110403030400
6531440352404
7100615011025
oct17000175264
95168382614
102013330100
11943521781
12482315704
132611638b2
14151568c4c
15bbb473ba
hex7800fab4

2013330100 has 18 divisors (see below), whose sum is σ = 4368926534. Its totient is φ = 805332000.

The previous prime is 2013330097. The next prime is 2013330119. The reversal of 2013330100 is 10333102.

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 2012240164 = 1044^2 + 44858^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10066551 + ... + 10066750.

Almost surely, 22013330100 is an apocalyptic number.

2013330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013330100 is an abundant number, since it is smaller than the sum of its proper divisors (2355596434).

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

2013330100 is a wasteful number, since it uses less digits than its factorization.

2013330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20133315 (or 20133308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013330100 is about 44870.1470913569. The cubic root of 2013330100 is about 1262.7139996029.

Adding to 2013330100 its reverse (10333102), we get a palindrome (2023663202).

The spelling of 2013330100 in words is "two billion, thirteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20133301 40266602 80533204 100666505 201333010 402666020 503332525 1006665050 2013330100