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10212030000 = 243254113467
BaseRepresentation
bin10011000001010111…
…10011011000110000
3222100200201212121100
421200223303120300
5131403234430000
64405155124400
7511030552134
oct114053633060
928320655540
1010212030000
114370474317
121b8bba3700
13c698c7303
146cc3973c4
153eb7e1a00
hex260af3630

10212030000 has 150 divisors (see below), whose sum is σ = 35713258724. Its totient is φ = 2723184000.

The previous prime is 10212029981. The next prime is 10212030029. The reversal of 10212030000 is 3021201.

It is a happy number.

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, 33267 + ... + 146733.

Almost surely, 210212030000 is an apocalyptic number.

10212030000 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 10212030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856629362).

10212030000 is an abundant number, since it is smaller than the sum of its proper divisors (25501228724).

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

10212030000 is a wasteful number, since it uses less digits than its factorization.

10212030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113501 (or 113477 counting only the distinct ones).

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

Adding to 10212030000 its reverse (3021201), we get a palindrome (10215051201).

The spelling of 10212030000 in words is "ten billion, two hundred twelve million, thirty 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 30000 45000 90000 113467 226934 340401 453868 567335 680802 907736 1021203 1134670 1361604 1702005 1815472 2042406 2269340 2723208 2836675 3404010 4084812 4538680 5106015 5446416 5673350 6808020 8169624 8510025 9077360 10212030 11346700 13616040 14183375 16339248 17020050 20424060 22693400 25530075 27232080 28366750 34040100 40848120 42550125 45386800 51060150 56733500 68080200 70916875 81696240 85100250 102120300 113467000 127650375 136160400 141833750 170200500 204240600 212750625 226934000 255300750 283667500 340401000 408481200 425501250 510601500 567335000 638251875 680802000 851002500 1021203000 1134670000 1276503750 1702005000 2042406000 2553007500 3404010000 5106015000 10212030000