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22311221331 = 371062439111
BaseRepresentation
bin10100110001110110…
…100011100001010011
32010120220111110212210
4110301312203201103
5331143133040311
614125530523203
71416615152340
oct246166434123
963526443783
1022311221331
11950a1148a3
1243a7b96503
13214747b519
1411192357c7
158a8b073a6
hex531da3853

22311221331 has 8 divisors (see below), whose sum is σ = 33998051584. Its totient is φ = 12749269320.

The previous prime is 22311221291. The next prime is 22311221341. The reversal of 22311221331 is 13312211322.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22311221331 - 29 = 22311220819 is a prime.

It is a super-3 number, since 3×223112213313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1062439111 = 22311221331 / (2 + 2 + 3 + 1 + 1 + 2 + 2 + 1 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 22311221298 and 22311221307.

It is not an unprimeable number, because it can be changed into a prime (22311221341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531219535 + ... + 531219576.

It is an arithmetic number, because the mean of its divisors is an integer number (4249756448).

Almost surely, 222311221331 is an apocalyptic number.

22311221331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22311221331 is a deficient number, since it is larger than the sum of its proper divisors (11686830253).

22311221331 is a wasteful number, since it uses less digits than its factorization.

22311221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062439121.

The product of its digits is 432, while the sum is 21.

Adding to 22311221331 its reverse (13312211322), we get a palindrome (35623432653).

The spelling of 22311221331 in words is "twenty-two billion, three hundred eleven million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 1062439111 3187317333 7437073777 22311221331