Search a number
-
+
1220011331 = 71115844303
BaseRepresentation
bin100100010110111…
…1110010101000011
310011000122222220212
41020231332111003
54444310330311
6321021024335
742142632230
oct11055762503
93130588825
101220011331
11576734630
122a06b50ab
131659acac6
14b805c787
157218ec8b
hex48b7e543

1220011331 has 8 divisors (see below), whose sum is σ = 1521053184. Its totient is φ = 950658120.

The previous prime is 1220011301. The next prime is 1220011357. The reversal of 1220011331 is 1331100221.

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

It is a cyclic number.

It is not a de Polignac number, because 1220011331 - 26 = 1220011267 is a prime.

It is a super-3 number, since 3×12200113313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1220011301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7922075 + ... + 7922228.

It is an arithmetic number, because the mean of its divisors is an integer number (190131648).

Almost surely, 21220011331 is an apocalyptic number.

1220011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1220011331 is a deficient number, since it is larger than the sum of its proper divisors (301041853).

1220011331 is a wasteful number, since it uses less digits than its factorization.

1220011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844321.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1220011331 is about 34928.6605955625. The cubic root of 1220011331 is about 1068.5330382016.

Adding to 1220011331 its reverse (1331100221), we get a palindrome (2551111552).

The spelling of 1220011331 in words is "one billion, two hundred twenty million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 11 77 15844303 110910121 174287333 1220011331