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212211002000 = 2453106105501
BaseRepresentation
bin1100010110100011000…
…0101110101010010000
3202021202100102212011202
43011220300232222100
511434102004031000
6241253254130332
721221533516634
oct3055060565220
9667670385152
10212211002000
1181aa863a798
12351650509a8
131701c0c094a
14a3b1b46dc4
1557c04c3dd5
hex3168c2ea90

212211002000 has 40 divisors (see below), whose sum is σ = 513126207672. Its totient is φ = 84884400000.

The previous prime is 212211001993. The next prime is 212211002077. The reversal of 212211002000 is 200112212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5480737024 + 206730264976 = 74032^2 + 454676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53050751 + ... + 53054750.

Almost surely, 2212211002000 is an apocalyptic number.

212211002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211002000 is an abundant number, since it is smaller than the sum of its proper divisors (300915205672).

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

212211002000 is a wasteful number, since it uses less digits than its factorization.

212211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106105524 (or 106105508 counting only the distinct ones).

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

Adding to 212211002000 its reverse (200112212), we get a palindrome (212411114212).

The spelling of 212211002000 in words is "two hundred twelve billion, two hundred eleven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 106105501 212211002 424422004 530527505 848844008 1061055010 1697688016 2122110020 2652637525 4244220040 5305275050 8488440080 10610550100 13263187625 21221100200 26526375250 42442200400 53052750500 106105501000 212211002000