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211210211001100 = 225218111669072431
BaseRepresentation
bin110000000001100000110101…
…100110011000001100001100
31000200211111110202101000121011
4300001200311212120030030
5210140432003004013400
62025112344220215004
762326301631523513
oct6001406546301414
91020744422330534
10211210211001100
1161330824964743
121b831b5439a464
1390b1064328c8c
143a228b344767a
1519640e03598ba
hexc0183599830c

211210211001100 has 36 divisors (see below), whose sum is σ = 460858346629408. Its totient is φ = 84017321496000.

The previous prime is 211210211001059. The next prime is 211210211001121. The reversal of 211210211001100 is 1100112012112.

It is a happy number.

It is a super-2 number, since 2×2112102110011002 (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5834518116 + ... + 5834554315.

Almost surely, 2211210211001100 is an apocalyptic number.

211210211001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210211001100 is an abundant number, since it is smaller than the sum of its proper divisors (249648135628308).

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

211210211001100 is a wasteful number, since it uses less digits than its factorization.

211210211001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669072626 (or 11669072619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211210211001100 its reverse (1100112012112), we get a palindrome (212310323013212).

The spelling of 211210211001100 in words is "two hundred eleven trillion, two hundred ten billion, two hundred eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 11669072431 23338144862 46676289724 58345362155 116690724310 233381448620 291726810775 583453621550 1166907243100 2112102110011 4224204220022 8448408440044 10560510550055 21121021100110 42242042200220 52802552750275 105605105500550 211210211001100