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211210022110000 = 245421121002211
BaseRepresentation
bin110000000001100000101010…
…010101110100001100110000
31000200211110222120221100201111
4300001200222111310030300
5210140431111130010000
62025112313351443104
762326264146134554
oct6001405225641460
91020743876840644
10211210022110000
1161330738279aa1
121b831b01086494
1390b10341611b4
143a22896317864
1519640cd996cba
hexc0182a574330

211210022110000 has 50 divisors (see below), whose sum is σ = 511360584554732. Its totient is φ = 84484008840000.

The previous prime is 211210022109991. The next prime is 211210022110019. The reversal of 211210022110000 is 11220012112.

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10560491106 + ... + 10560511105.

Almost surely, 2211210022110000 is an apocalyptic number.

211210022110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210022110000 is an abundant number, since it is smaller than the sum of its proper divisors (300150562444732).

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

211210022110000 is an equidigital number, since it uses as much as digits as its factorization.

211210022110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121002239 (or 21121002218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211210022110000 its reverse (11220012112), we get a palindrome (211221242122112).

The spelling of 211210022110000 in words is "two hundred eleven trillion, two hundred ten billion, twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21121002211 42242004422 84484008844 105605011055 168968017688 211210022110 337936035376 422420044220 528025055275 844840088440 1056050110550 1689680176880 2112100221100 2640125276375 4224200442200 5280250552750 8448400884400 10560501105500 13200626381875 21121002211000 26401252763750 42242004422000 52802505527500 105605011055000 211210022110000