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212100222001 = 192990159341
BaseRepresentation
bin1100010110001000101…
…0001000110000110001
3202021110121222122120211
43011202022020300301
511433340124101001
6241234255504121
721216020066113
oct3054212106061
9667417878524
10212100222001
1181a51056078
1235133b28041
1317002174555
14a3a114b3b3
1557b58e0351
hex3162288c31

212100222001 has 12 divisors (see below), whose sum is σ = 223877308404. Its totient is φ = 200913372000.

The previous prime is 212100221987. The next prime is 212100222031. The reversal of 212100222001 is 100222001212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114958293025 + 97141928976 = 339055^2 + 311676^2 .

It is not a de Polignac number, because 212100222001 - 219 = 212099697713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100222031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3544591 + ... + 3603931.

It is an arithmetic number, because the mean of its divisors is an integer number (18656442367).

Almost surely, 2212100222001 is an apocalyptic number.

It is an amenable number.

212100222001 is a deficient number, since it is larger than the sum of its proper divisors (11777086403).

212100222001 is an equidigital number, since it uses as much as digits as its factorization.

212100222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69280 (or 69261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212100222001 its reverse (100222001212), we get a palindrome (312322223213).

The spelling of 212100222001 in words is "two hundred twelve billion, one hundred million, two hundred twenty-two thousand, one".

Divisors: 1 19 361 9901 59341 188119 1127479 3574261 21422101 587535241 11163169579 212100222001