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2000120210200 = 235272629932401
BaseRepresentation
bin11101000110110000011…
…101000110001100011000
321002012122211001011100201
4131012300131012030120
5230232221233211300
64130501553311544
7264334562163100
oct35066035061430
97065584034321
102000120210200
11701278796562
122837782655b4
131167c2432b78
146cb40822200
153706382566a
hex1d1b0746318

2000120210200 has 144 divisors (see below), whose sum is σ = 5410534563000. Its totient is φ = 685625472000.

The previous prime is 2000120210173. The next prime is 2000120210203. The reversal of 2000120210200 is 20120210002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000120210203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61714000 + ... + 61746400.

Almost surely, 22000120210200 is an apocalyptic number.

2000120210200 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 2000120210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705267281500).

2000120210200 is an abundant number, since it is smaller than the sum of its proper divisors (3410414352800).

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

2000120210200 is a wasteful number, since it uses less digits than its factorization.

2000120210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38730 (or 38714 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000120210200 its reverse (20120210002), we get a palindrome (2020240420202).

The spelling of 2000120210200 in words is "two trillion, one hundred twenty million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 6299 9800 12598 25196 31495 32401 44093 50392 62990 64802 88186 125980 129604 157475 162005 176372 220465 226807 251960 259208 308651 314950 324010 352744 440930 453614 617302 629900 648020 810025 881860 907228 1102325 1134035 1234604 1259800 1296040 1543255 1587649 1620050 1763720 1814456 2204650 2268070 2469208 3086510 3175298 3240100 4409300 4536140 5670175 6173020 6350596 6480200 7716275 7938245 8818600 9072280 11340350 12346040 12701192 15432550 15876490 22680700 30865100 31752980 39691225 45361400 61730200 63505960 79382450 158764900 204093899 317529800 408187798 816375596 1020469495 1428657293 1632751192 2040938990 2857314586 4081877980 5102347475 5714629172 7143286465 8163755960 10000601051 10204694950 11429258344 14286572930 20001202102 20409389900 28573145860 35716432325 40002404204 40818779800 50003005255 57146291720 71432864650 80004808408 100006010510 142865729300 200012021020 250015026275 285731458600 400024042040 500030052550 1000060105100 2000120210200