Search a number
-
+
220321212321 = 3717617146253
BaseRepresentation
bin1100110100110000101…
…0101110011110100001
3210001200120020020012210
43031030022232132201
512102204212243241
6245114132112333
721626523255660
oct3151412563641
9701616206183
10220321212321
118548a642851
12368491656a9
1317a12410a72
14a940cdcdd7
155ae74de316
hex334c2ae7a1

220321212321 has 16 divisors (see below), whose sum is σ = 355476242304. Its totient is φ = 118492080384.

The previous prime is 220321212317. The next prime is 220321212329. The reversal of 220321212321 is 123212123022.

220321212321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220321212321 - 22 = 220321212317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220321212329) 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 15 ways as a sum of consecutive naturals, for example, 308572770 + ... + 308573483.

It is an arithmetic number, because the mean of its divisors is an integer number (22217265144).

Almost surely, 2220321212321 is an apocalyptic number.

220321212321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220321212321 is a deficient number, since it is larger than the sum of its proper divisors (135155029983).

220321212321 is a wasteful number, since it uses less digits than its factorization.

220321212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617146280.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220321212321 its reverse (123212123022), we get a palindrome (343533335343).

The spelling of 220321212321 in words is "two hundred twenty billion, three hundred twenty-one million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 17 21 51 119 357 617146253 1851438759 4320023771 10491486301 12960071313 31474458903 73440404107 220321212321