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221210212001 = 349673941813
BaseRepresentation
bin1100111000000100100…
…1111111011010100001
3210010222112001002111212
43032001021333122201
512111014303241001
6245342250315505
721660536530532
oct3160111773241
9703875032455
10221210212001
11858a6441429
1236a56a28b95
1317b2465548c
14a9c6dd4689
155b4a5967bb
hex338127f6a1

221210212001 has 8 divisors (see below), whose sum is σ = 222173922600. Its totient is φ = 220248387072.

The previous prime is 221210211973. The next prime is 221210212007. The reversal of 221210212001 is 100212012122.

221210212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 99335910976 + 121874301025 = 315176^2 + 349105^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221210212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221210212007) 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 7 ways as a sum of consecutive naturals, for example, 236030 + ... + 705783.

It is an arithmetic number, because the mean of its divisors is an integer number (27771740325).

Almost surely, 2221210212001 is an apocalyptic number.

It is an amenable number.

221210212001 is a deficient number, since it is larger than the sum of its proper divisors (963710599).

221210212001 is an equidigital number, since it uses as much as digits as its factorization.

221210212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942835.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221210212001 its reverse (100212012122), we get a palindrome (321422224123).

The spelling of 221210212001 in words is "two hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one".

Divisors: 1 349 673 234877 941813 328692737 633840149 221210212001