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2103210000 = 24325423369
BaseRepresentation
bin111110101011100…
…0111000000010000
312102120120010201200
41331113013000100
513301410210000
6544411031200
7103055663403
oct17527070020
95376503650
102103210000
1198a230891
124a843b500
13276972c78
1415d483d3a
15c499d500
hex7d5c7010

2103210000 has 150 divisors (see below), whose sum is σ = 7355543910. Its totient is φ = 560832000.

The previous prime is 2103209989. The next prime is 2103210013. The reversal of 2103210000 is 123012.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1284792336 + 818417664 = 35844^2 + 28608^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78316 + ... + 101684.

Almost surely, 22103210000 is an apocalyptic number.

2103210000 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 2103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677771955).

2103210000 is an abundant number, since it is smaller than the sum of its proper divisors (5252333910).

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

2103210000 is a wasteful number, since it uses less digits than its factorization.

2103210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23403 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2103210000 is about 45860.7675470003. The cubic root of 2103210000 is about 1281.2313183871.

Adding to 2103210000 its reverse (123012), we get a palindrome (2103333012).

The spelling of 2103210000 in words is "two billion, one hundred three million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 23369 30000 45000 46738 70107 90000 93476 116845 140214 186952 210321 233690 280428 350535 373904 420642 467380 560856 584225 701070 841284 934760 1051605 1121712 1168450 1402140 1682568 1752675 1869520 2103210 2336900 2804280 2921125 3365136 3505350 4206420 4673800 5258025 5608560 5842250 7010700 8412840 8763375 9347600 10516050 11684500 14021400 14605625 16825680 17526750 21032100 23369000 26290125 28042800 29211250 35053500 42064200 43816875 46738000 52580250 58422500 70107000 84128400 87633750 105160500 116845000 131450625 140214000 175267500 210321000 233690000 262901250 350535000 420642000 525802500 701070000 1051605000 2103210000