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212211020000221 = 1156376074504571
BaseRepresentation
bin110000010000000100111010…
…011101101110101111011101
31000211101011201212001212020121
4300100010322131232233131
5210303331132110001341
62031200221410314541
762461511621616544
oct6020047235565735
91024334655055217
10212211020000221
1161687208507650
121b973b01288a51
13915454b0a8808
143a590d50bd15b
151980167b244d1
hexc1013a76ebdd

212211020000221 has 16 divisors (see below), whose sum is σ = 231944664595968. Its totient is φ = 192551087940400.

The previous prime is 212211020000159. The next prime is 212211020000237. The reversal of 212211020000221 is 122000020112212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212211020000221 - 221 = 212211017903069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212211020000195 and 212211020000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211020010221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44857866 + ... + 49362436.

It is an arithmetic number, because the mean of its divisors is an integer number (14496541537248).

Almost surely, 2212211020000221 is an apocalyptic number.

It is an amenable number.

212211020000221 is a deficient number, since it is larger than the sum of its proper divisors (19733644595747).

212211020000221 is a wasteful number, since it uses less digits than its factorization.

212211020000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512752.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212211020000221 its reverse (122000020112212), we get a palindrome (334211040112433).

The spelling of 212211020000221 in words is "two hundred twelve trillion, two hundred eleven billion, twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 563 6193 7607 83677 4282741 4504571 47110151 49550281 2536073473 27896808203 34266271597 376928987567 19291910909111 212211020000221