Search a number
-
+
221323232220103 = 13234790315452299
BaseRepresentation
bin110010010100101011010100…
…101000110001001111000111
31002000122021221120222002010201
4302110223110220301033013
5213002124434422020403
62102414253402231331
764422035005541206
oct6224532450611707
91060567846862121
10221323232220103
116457a723781382
12209a5b127b5547
1396658ca884b40
143c9215cac723d
151a8c1d272b21d
hexc94ad4a313c7

221323232220103 has 16 divisors (see below), whose sum is σ = 248716265011200. Its totient is φ = 195411738402144.

The previous prime is 221323232220073. The next prime is 221323232220133. The reversal of 221323232220103 is 301022232323122.

It is an interprime number because it is at equal distance from previous prime (221323232220073) and next prime (221323232220133).

It is a cyclic number.

It is not a de Polignac number, because 221323232220103 - 233 = 221314642285511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221323232220133) 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, 6596848 + ... + 22049146.

It is an arithmetic number, because the mean of its divisors is an integer number (15544766563200).

Almost surely, 2221323232220103 is an apocalyptic number.

221323232220103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221323232220103 is a deficient number, since it is larger than the sum of its proper divisors (27393032791097).

221323232220103 is a wasteful number, since it uses less digits than its factorization.

221323232220103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15500238.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 221323232220103 its reverse (301022232323122), we get a palindrome (522345464543225).

The spelling of 221323232220103 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, two hundred thirty-two million, two hundred twenty thousand, one hundred three".

Divisors: 1 13 23 299 47903 622739 1101769 14322997 15452299 200879887 355402877 4620237401 740211478997 9622749226961 17024864016931 221323232220103