Search a number
-
+
222120121301 = 13173385325633
BaseRepresentation
bin1100111011011101100…
…1000001001111010101
3210020022221012021102022
43032313121001033111
512114400222340201
6250012433022525
722022225610401
oct3166731011725
9706287167368
10222120121301
1186223021791
123706b6b4a45
1317c3b00b350
14aa71bb0101
155ba03ce41b
hex33b76413d5

222120121301 has 16 divisors (see below), whose sum is σ = 240660810096. Its totient is φ = 203787933696.

The previous prime is 222120121273. The next prime is 222120121303. The reversal of 222120121301 is 103121021222.

It can be written as a sum of positive squares in 8 ways, for example, as 21366838276 + 200753283025 = 146174^2 + 448055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222120121301 is a prime.

It is a super-3 number, since 3×2221201213013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 222120121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120121303) 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, 8652581 + ... + 8678213.

It is an arithmetic number, because the mean of its divisors is an integer number (15041300631).

Almost surely, 2222120121301 is an apocalyptic number.

It is an amenable number.

222120121301 is a deficient number, since it is larger than the sum of its proper divisors (18540688795).

222120121301 is a wasteful number, since it uses less digits than its factorization.

222120121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29672.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 222120121301 its reverse (103121021222), we get a palindrome (325241142523).

The spelling of 222120121301 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 13 173 2249 3853 25633 50089 333229 666569 4434509 8665397 57648617 98763949 1283931337 17086163177 222120121301