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212210010020000 = 255440126460101
BaseRepresentation
bin110000010000000011111110…
…010000111101100010100000
31000211101002010110121112211202
4300100003332100331202200
5210303322100031120000
62031155533251100332
762461444606131026
oct6020037620754240
91024332113545752
10212210010020000
116168683a397553
121b97387aba16a8
139154419a85a95
143a5903acd4716
151980109120dd5
hexc100fe43d8a0

212210010020000 has 120 divisors (see below), whose sum is σ = 523370392279812. Its totient is φ = 84672320000000.

The previous prime is 212210010019981. The next prime is 212210010020017. The reversal of 212210010020000 is 20010012212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8911347395344 + 203298662624656 = 2985188^2 + 14258284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5210051 + ... + 21250050.

Almost surely, 2212210010020000 is an apocalyptic number.

212210010020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210010020000 is an abundant number, since it is smaller than the sum of its proper divisors (311160382259812).

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

212210010020000 is an equidigital number, since it uses as much as digits as its factorization.

212210010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460532 (or 26460509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212210010020000 its reverse (20010012212), we get a palindrome (212230020032212).

The spelling of 212210010020000 in words is "two hundred twelve trillion, two hundred ten billion, ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 401 500 625 800 802 1000 1250 1604 2000 2005 2500 3208 4000 4010 5000 6416 8020 10000 10025 12832 16040 20000 20050 32080 40100 50125 64160 80200 100250 160400 200500 250625 320800 401000 501250 802000 1002500 1604000 2005000 4010000 8020000 26460101 52920202 105840404 132300505 211680808 264601010 423361616 529202020 661502525 846723232 1058404040 1323005050 2116808080 2646010100 3307512625 4233616160 5292020200 6615025250 10584040400 10610500501 13230050500 16537563125 21168080800 21221001002 26460101000 33075126250 42442002004 52920202000 53052502505 66150252500 84884004008 105840404000 106105005010 132300505000 169768008016 212210010020 264601010000 265262512525 339536016032 424420020040 529202020000 530525025050 848840040080 1061050050100 1326312562625 1697680080160 2122100100200 2652625125250 4244200200400 5305250250500 6631562813125 8488400400800 10610500501000 13263125626250 21221001002000 26526251252500 42442002004000 53052502505000 106105005010000 212210010020000