Search a number
-
+
1220023321 = 11314776123
BaseRepresentation
bin100100010111000…
…0001010000011001
310011000200121100221
41020232001100121
54444311221241
6321021200041
742143012206
oct11056012031
93130617327
101220023321
11576742640
122a0700021
131659b53ba
14b8062cad
15721935d1
hex48b81419

1220023321 has 16 divisors (see below), whose sum is σ = 1403117568. Its totient is φ = 1050483600.

The previous prime is 1220023319. The next prime is 1220023331. The reversal of 1220023321 is 1233200221.

It is a cyclic number.

It is not a de Polignac number, because 1220023321 - 21 = 1220023319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220023295 and 1220023304.

It is not an unprimeable number, because it can be changed into a prime (1220023331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22035 + ... + 54088.

It is an arithmetic number, because the mean of its divisors is an integer number (87694848).

Almost surely, 21220023321 is an apocalyptic number.

1220023321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220023321 is a deficient number, since it is larger than the sum of its proper divisors (183094247).

1220023321 is a wasteful number, since it uses less digits than its factorization.

1220023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76212.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1220023321 is about 34928.8322306945. The cubic root of 1220023321 is about 1068.5365386251.

Adding to 1220023321 its reverse (1233200221), we get a palindrome (2453223542).

Subtracting 1220023321 from its reverse (1233200221), we obtain a square (13176900 = 36302).

The spelling of 1220023321 in words is "one billion, two hundred twenty million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 11 31 47 341 517 1457 16027 76123 837353 2359813 3577781 25957943 39355591 110911211 1220023321