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221022202010001 = 3733188336010397
BaseRepresentation
bin110010010000010010111101…
…110101101001100110010001
31001222120111221021111221210220
4302100102331311221212101
5212432211432203310001
62102024110424143253
764361220131142540
oct6220227565514621
91058514837457726
10221022202010001
1164473a97aa7a77
1220957700307b29
1396433c549c572
143c81762c12157
151a844648bec36
hexc904bdd69991

221022202010001 has 32 divisors (see below), whose sum is σ = 338195830023168. Its totient is φ = 125774230317120.

The previous prime is 221022202009943. The next prime is 221022202010053. The reversal of 221022202010001 is 100010202220122.

It is not a de Polignac number, because 221022202010001 - 215 = 221022201977233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221022202010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11867466 + ... + 24142931.

It is an arithmetic number, because the mean of its divisors is an integer number (10568619688224).

Almost surely, 2221022202010001 is an apocalyptic number.

221022202010001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221022202010001 is a deficient number, since it is larger than the sum of its proper divisors (117173628013167).

221022202010001 is a wasteful number, since it uses less digits than its factorization.

221022202010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36011621.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221022202010001 its reverse (100010202220122), we get a palindrome (321032404230123).

The spelling of 221022202010001 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred two million, ten thousand, one".

Divisors: 1 3 7 21 331 883 993 2317 2649 6181 6951 18543 292273 876819 2045911 6137733 36010397 108031191 252072779 756218337 11919441407 31797180551 35758324221 83436089849 95391541653 222580263857 250308269547 667740791571 10524866762381 31574600287143 73674067336667 221022202010001