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212110201000 = 23534710144683
BaseRepresentation
bin1100010110001011000…
…0001101000010101000
3202021111022202122012101
43011202300031002220
511433400202413000
6241235253423144
721216200650315
oct3054260150250
9667438678171
10212110201000
1181a56751485
123513733aab4
1317004259699
14a3a25c7d0c
1557b6711e6a
hex3162c0d0a8

212110201000 has 128 divisors (see below), whose sum is σ = 511928501760. Its totient is φ = 82214880000.

The previous prime is 212110200923. The next prime is 212110201021. The reversal of 212110201000 is 102011212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4724659 + ... + 4769341.

It is an arithmetic number, because the mean of its divisors is an integer number (3999441420).

Almost surely, 2212110201000 is an apocalyptic number.

212110201000 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 212110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255964250880).

212110201000 is an abundant number, since it is smaller than the sum of its proper divisors (299818300760).

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

212110201000 is a wasteful number, since it uses less digits than its factorization.

212110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44852 (or 44838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212110201000 its reverse (102011212), we get a palindrome (212212212212).

The spelling of 212110201000 in words is "two hundred twelve billion, one hundred ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 101 125 188 200 202 235 250 376 404 470 500 505 808 940 1000 1010 1175 1880 2020 2350 2525 4040 4700 4747 5050 5875 9400 9494 10100 11750 12625 18988 20200 23500 23735 25250 37976 44683 47000 47470 50500 89366 94940 101000 118675 178732 189880 223415 237350 357464 446830 474700 593375 893660 949400 1117075 1186750 1787320 2100101 2234150 2373500 4200202 4468300 4512983 4747000 5585375 8400404 8936600 9025966 10500505 11170750 16800808 18051932 21001010 22341500 22564915 36103864 42002020 44683000 45129830 52502525 84004040 90259660 105005050 112824575 180519320 210010100 212110201 225649150 262512625 420020200 424220402 451298300 525025250 564122875 848440804 902596600 1050050500 1060551005 1128245750 1696881608 2100101000 2121102010 2256491500 4242204020 4512983000 5302755025 8484408040 10605510050 21211020100 26513775125 42422040200 53027550250 106055100500 212110201000