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221020022200211 = 131723352316075107
BaseRepresentation
bin110010010000010000111011…
…111010010101011110010011
31001222120022022100211010220222
4302100100323322111132103
5212432143001140401321
62102023110235223255
764361112122104133
oct6220207372253623
91058508270733828
10221020022200211
1164473079608683
12209571b22a7b2b
1396431389b9aa0
143c815d750cac3
151a843883403ab
hexc9043be95793

221020022200211 has 64 divisors (see below), whose sum is σ = 253795909506048. Its totient is φ = 190671625064448.

The previous prime is 221020022200189. The next prime is 221020022200213. The reversal of 221020022200211 is 112002220020122.

It is a happy number.

221020022200211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221020022200211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 221020022200211.

It is not an unprimeable number, because it can be changed into a prime (221020022200213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43277855720 + ... + 43277860826.

It is an arithmetic number, because the mean of its divisors is an integer number (3965561086032).

Almost surely, 2221020022200211 is an apocalyptic number.

221020022200211 is a deficient number, since it is larger than the sum of its proper divisors (32775887305837).

221020022200211 is a wasteful number, since it uses less digits than its factorization.

221020022200211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221020022200211 its reverse (112002220020122), we get a palindrome (333022242220333).

The spelling of 221020022200211 in words is "two hundred twenty-one trillion, twenty billion, twenty-two million, two hundred thousand, two hundred eleven".

Divisors: 1 13 17 221 233 523 1607 3029 3961 5107 6799 8891 20891 27319 51493 66391 86819 115583 121859 355147 374431 840461 1128647 1189931 1584167 2071603 2670961 4867603 6365327 8206949 10925993 14287837 15469103 20228827 26930839 34722493 45406337 82749251 106690337 139518133 185741881 195827413 262974751 590282381 622333913 1813735729 1912219117 2545756369 3329066021 4292234327 8090340869 10579676521 24858848521 32507724989 43277858273 55799046251 72967983559 137535794773 422600424857 948583786267 1000090598191 13001177776483 17001540169247 221020022200211