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1311331230 = 2325111324577
BaseRepresentation
bin100111000101001…
…0101001110011110
310101101111112021100
41032022111032132
510141200044410
6334042213530
744332063056
oct11612251636
93341445240
101311331230
11613237620
123071b42a6
1317b8a4751
14c6230566
157a1cc8c0
hex4e29539e

1311331230 has 48 divisors (see below), whose sum is σ = 3719415024. Its totient is φ = 317898240.

The previous prime is 1311331211. The next prime is 1311331237. The reversal of 1311331230 is 321331131.

It is a happy number.

1311331230 is a `hidden beast` number, since 1 + 311 + 331 + 23 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311331237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661299 + ... + 663278.

It is an arithmetic number, because the mean of its divisors is an integer number (77487813).

Almost surely, 21311331230 is an apocalyptic number.

1311331230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311331230 is an abundant number, since it is smaller than the sum of its proper divisors (2408083794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311331230 is a wasteful number, since it uses less digits than its factorization.

1311331230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324601 (or 1324598 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311331230 is about 36212.3077143669. The cubic root of 1311331230 is about 1094.5546947682.

Adding to 1311331230 its reverse (321331131), we get a palindrome (1632662361).

Subtracting from 1311331230 its reverse (321331131), we obtain a palindrome (990000099).

The spelling of 1311331230 in words is "one billion, three hundred eleven million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1324577 2649154 3973731 6622885 7947462 11921193 13245770 14570347 19868655 23842386 29140694 39737310 43711041 59605965 72851735 87422082 119211930 131133123 145703470 218555205 262266246 437110410 655665615 1311331230