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212010110001 = 3237636666997
BaseRepresentation
bin1100010101110011001…
…0011000110000110001
3202021020100102111011100
43011130302120300301
511433144042010001
6241221320235013
721213544125654
oct3053462306061
9667210374140
10212010110001
1181a051a8648
123510990ba69
1316cb95b3641
14a3931b189b
1557aca40586
hex315cc98c31

212010110001 has 12 divisors (see below), whose sum is σ = 314513497012. Its totient is φ = 137520071136.

The previous prime is 212010109981. The next prime is 212010110009. The reversal of 212010110001 is 100011010212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 143583397776 + 68426712225 = 378924^2 + 261585^2 .

It is not a de Polignac number, because 212010110001 - 27 = 212010109873 is a prime.

It is a super-2 number, since 2×2120101100012 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212010110009) 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 11 ways as a sum of consecutive naturals, for example, 318333166 + ... + 318333831.

Almost surely, 2212010110001 is an apocalyptic number.

It is an amenable number.

212010110001 is a deficient number, since it is larger than the sum of its proper divisors (102503387011).

212010110001 is a wasteful number, since it uses less digits than its factorization.

212010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636667040 (or 636667037 counting only the distinct ones).

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

Adding to 212010110001 its reverse (100011010212), we get a palindrome (312021120213).

The spelling of 212010110001 in words is "two hundred twelve billion, ten million, one hundred ten thousand, one".

Divisors: 1 3 9 37 111 333 636666997 1910000991 5730002973 23556678889 70670036667 212010110001