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212000101011 = 33411511126743
BaseRepresentation
bin1100010101110000110…
…0001101001010010011
3202021012122120222102000
43011130030031022103
511433134011213021
6241220321525043
721213363061146
oct3053414151223
9667178528360
10212000101011
11819aa591756
12351064a3783
1316cb74ba96a
14a391b2805d
1557abc14b26
hex315c30d293

212000101011 has 32 divisors (see below), whose sum is σ = 321950039040. Its totient is φ = 137793902400.

The previous prime is 212000101003. The next prime is 212000101129. The reversal of 212000101011 is 110101000212.

It is a happy number.

It is not a de Polignac number, because 212000101011 - 23 = 212000101003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212000100984 and 212000101002.

It is not an unprimeable number, because it can be changed into a prime (212000101711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1609306 + ... + 1736048.

It is an arithmetic number, because the mean of its divisors is an integer number (10060938720).

Almost surely, 2212000101011 is an apocalyptic number.

212000101011 is a deficient number, since it is larger than the sum of its proper divisors (109949938029).

212000101011 is a wasteful number, since it uses less digits than its factorization.

212000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128304 (or 128298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212000101011 its reverse (110101000212), we get a palindrome (322101101223).

The spelling of 212000101011 in words is "two hundred twelve billion, one hundred one thousand, eleven".

Divisors: 1 3 9 27 41 123 369 1107 1511 4533 13599 40797 61951 126743 185853 380229 557559 1140687 1672677 3422061 5196463 15589389 46768167 140304501 191508673 574526019 1723578057 5170734171 7851855593 23555566779 70666700337 212000101011