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2100030000 = 2435470001
BaseRepresentation
bin111110100101011…
…1110101000110000
312102100120120120220
41331022332220300
513300101430000
6544214533040
7103016650305
oct17512765060
95370516526
102100030000
11988459692
124a7367180
132760cb703
1415cc970ac
15c45711a0
hex7d2bea30

2100030000 has 100 divisors (see below), whose sum is σ = 6779273688. Its totient is φ = 560000000.

The previous prime is 2100029999. The next prime is 2100030017. The reversal of 2100030000 is 300012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 19 ways as a sum of consecutive naturals, for example, 5001 + ... + 65000.

Almost surely, 22100030000 is an apocalyptic number.

2100030000 is a gapful number since it is divisible by the number (20) 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 2100030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389636844).

2100030000 is an abundant number, since it is smaller than the sum of its proper divisors (4679243688).

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

2100030000 is an equidigital number, since it uses as much as digits as its factorization.

2100030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70032 (or 70011 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2100030000 is about 45826.0842752247. The cubic root of 2100030000 is about 1280.5852629545.

Adding to 2100030000 its reverse (300012), we get a palindrome (2100330012).

The spelling of 2100030000 in words is "two billion, one hundred million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 70001 140002 210003 280004 350005 420006 560008 700010 840012 1050015 1120016 1400020 1680024 1750025 2100030 2800040 3360048 3500050 4200060 5250075 5600080 7000100 8400120 8750125 10500150 14000200 16800240 17500250 21000300 26250375 28000400 35000500 42000600 43750625 52500750 70001000 84001200 87501250 105001500 131251875 140002000 175002500 210003000 262503750 350005000 420006000 525007500 700010000 1050015000 2100030000