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1311220233 = 32731995769
BaseRepresentation
bin100111000100111…
…1010001000001001
310101101021220000100
41032021322020021
510141133021413
6334040000013
744331121341
oct11611721011
93341256010
101311220233
11613171194
12307160009
1317b86607b
14c6201d21
157a1a9a73
hex4e27a209

1311220233 has 12 divisors (see below), whose sum is σ = 1919930740. Its totient is φ = 862171776.

The previous prime is 1311220231. The next prime is 1311220277. The reversal of 1311220233 is 3320221131.

It can be written as a sum of positive squares in 2 ways, for example, as 1121111289 + 190108944 = 33483^2 + 13788^2 .

It is not a de Polignac number, because 1311220233 - 21 = 1311220231 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1311220231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997228 + ... + 998541.

Almost surely, 21311220233 is an apocalyptic number.

It is an amenable number.

1311220233 is a deficient number, since it is larger than the sum of its proper divisors (608710507).

1311220233 is a wasteful number, since it uses less digits than its factorization.

1311220233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995848 (or 1995845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311220233 is about 36210.7750952669. The cubic root of 1311220233 is about 1094.5238112120.

Adding to 1311220233 its reverse (3320221131), we get a palindrome (4631441364).

The spelling of 1311220233 in words is "one billion, three hundred eleven million, two hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 73 219 657 1995769 5987307 17961921 145691137 437073411 1311220233