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221113101109 is a prime number
BaseRepresentation
bin1100110111101101011…
…1100010101100110101
3210010201202022100102011
43031323113202230311
512110314423213414
6245324501044221
721655250230435
oct3157327425465
9703652270364
10221113101109
118585664359a
1236a2a3b6671
1317b0a4b3a04
14a9b81562c5
155b41cb2dc4
hex337b5e2b35

221113101109 has 2 divisors, whose sum is σ = 221113101110. Its totient is φ = 221113101108.

The previous prime is 221113101101. The next prime is 221113101133. The reversal of 221113101109 is 901101311122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197855936100 + 23257165009 = 444810^2 + 152503^2 .

It is a cyclic number.

It is not a de Polignac number, because 221113101109 - 23 = 221113101101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221113101109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221113101101) 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 as a sum of consecutive naturals, namely, 110556550554 + 110556550555.

It is an arithmetic number, because the mean of its divisors is an integer number (110556550555).

Almost surely, 2221113101109 is an apocalyptic number.

It is an amenable number.

221113101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

221113101109 is an equidigital number, since it uses as much as digits as its factorization.

221113101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 221113101109 in words is "two hundred twenty-one billion, one hundred thirteen million, one hundred one thousand, one hundred nine".