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212221103001 = 32932900503
BaseRepresentation
bin1100010110100101011…
…1010000101110011001
3202021210001110001010220
43011221113100232121
511434112100244001
6241254254430253
721222015416625
oct3055127205631
9667701401126
10212221103001
1182003309826
1235168502389
131702121947b
14a3b3216185
1557c131bc36
hex31695d0b99

212221103001 has 16 divisors (see below), whose sum is σ = 293066924160. Its totient is φ = 136602042192.

The previous prime is 212221102993. The next prime is 212221103009. The reversal of 212221103001 is 100301122212.

212221103001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212221102993) and next prime (212221103009).

It is not a de Polignac number, because 212221103001 - 23 = 212221102993 is a prime.

It is a super-2 number, since 2×2122211030012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212221103009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377085 + ... + 1523418.

It is an arithmetic number, because the mean of its divisors is an integer number (18316682760).

Almost surely, 2212221103001 is an apocalyptic number.

It is an amenable number.

212221103001 is a deficient number, since it is larger than the sum of its proper divisors (80845821159).

212221103001 is an frugal number, since it uses more digits than its factorization.

212221103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900593 (or 2900535 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212221103001 its reverse (100301122212), we get a palindrome (312522225213).

The spelling of 212221103001 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred three thousand, one".

Divisors: 1 3 29 87 841 2523 24389 73167 2900503 8701509 84114587 252343761 2439323023 7317969069 70740367667 212221103001