Search a number
-
+
222113102101 = 11471792400107
BaseRepresentation
bin1100111011011011111…
…0001111100100010101
3210020022102222122212221
43032312332033210111
512114341423231401
6250012022342341
722022112134302
oct3166676174425
9706272878787
10222113102101
118621a0680a0
123706928a9b1
1317c39721487
14aa70ca40a9
155b9e9947a1
hex33b6f8f915

222113102101 has 16 divisors (see below), whose sum is σ = 248843197440. Its totient is φ = 196520679280.

The previous prime is 222113102083. The next prime is 222113102117. The reversal of 222113102101 is 101201311222.

It is a cyclic number.

It is not a de Polignac number, because 222113102101 - 25 = 222113102069 is a prime.

It is a super-3 number, since 3×2221131021013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222113102171) 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 15 ways as a sum of consecutive naturals, for example, 1107511 + ... + 1292596.

It is an arithmetic number, because the mean of its divisors is an integer number (15552699840).

Almost surely, 2222113102101 is an apocalyptic number.

It is an amenable number.

222113102101 is a deficient number, since it is larger than the sum of its proper divisors (26730095339).

222113102101 is a wasteful number, since it uses less digits than its factorization.

222113102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400344.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 222113102101 its reverse (101201311222), we get a palindrome (323314413323).

The spelling of 222113102101 in words is "two hundred twenty-two billion, one hundred thirteen million, one hundred two thousand, one hundred one".

Divisors: 1 11 47 179 517 1969 8413 92543 2400107 26401177 112805029 429619153 1240855319 4725810683 20192100191 222113102101