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212022210000111 = 37293715233617699
BaseRepresentation
bin110000001101010101000100…
…100000101111010011101111
31000210201010101100202001211120
4300031111010200233103233
5210242232441230000421
62030533354132552023
762442046005243120
oct6015250440572357
91023633340661746
10212022210000111
1161614129156a45
121b9433a9182613
13913c7bb179664
143a4dd0320a047
15197a2b6c708c6
hexc0d54482f4ef

212022210000111 has 64 divisors (see below), whose sum is σ = 343278324864000. Its totient is φ = 113808553721856.

The previous prime is 212022210000089. The next prime is 212022210000143. The reversal of 212022210000111 is 111000012220212.

It is not a de Polignac number, because 212022210000111 - 225 = 212022176445679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022210000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342936340 + ... + 343554038.

It is an arithmetic number, because the mean of its divisors is an integer number (5363723826000).

Almost surely, 2212022210000111 is an apocalyptic number.

212022210000111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212022210000111 is a deficient number, since it is larger than the sum of its proper divisors (131256114863889).

212022210000111 is a wasteful number, since it uses less digits than its factorization.

212022210000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633008.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212022210000111 its reverse (111000012220212), we get a palindrome (323022222220323).

The spelling of 212022210000111 in words is "two hundred twelve trillion, twenty-two billion, two hundred ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 21 29 37 87 111 203 259 609 777 1073 3219 7511 15233 22533 45699 106631 319893 441757 563621 617699 1325271 1690863 1853097 3092299 3945347 4323893 9276897 11836041 12971679 16345009 17913271 22854863 49035027 53739813 68564589 114415063 125392897 159984041 343245189 376178691 479952123 662791027 1988373081 4639537189 9409408867 13918611567 28228226601 65865862069 197597586207 272872857143 348148128079 818618571429 1044444384237 1910110000001 2437036896553 5730330000003 7311110689659 10096295714291 30288887142873 70674070000037 212022210000111