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1131131310 = 23550374959
BaseRepresentation
bin100001101101011…
…1011000110101110
32220211102102110020
41003122323012232
54304032200220
6304124023010
740013312631
oct10332730656
92824372406
101131131310
11530548771
12276991a66
1315046088a
14aa323c18
1569485040
hex436bb1ae

1131131310 has 32 divisors (see below), whose sum is σ = 2720148480. Its totient is φ = 301031328.

The previous prime is 1131131299. The next prime is 1131131327. The reversal of 1131131310 is 131311311.

It is a super-2 number, since 2×11311313102 = 2558916080924632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131131310.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22390 + ... + 52569.

It is an arithmetic number, because the mean of its divisors is an integer number (85004640).

Almost surely, 21131131310 is an apocalyptic number.

1131131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131131310 is an abundant number, since it is smaller than the sum of its proper divisors (1589017170).

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

1131131310 is a wasteful number, since it uses less digits than its factorization.

1131131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75472.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1131131310 is about 33632.2956397567. The cubic root of 1131131310 is about 1041.9279173491.

Adding to 1131131310 its reverse (131311311), we get a palindrome (1262442621).

The spelling of 1131131310 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 503 1006 1509 2515 3018 5030 7545 15090 74959 149918 224877 374795 449754 749590 1124385 2248770 37704377 75408754 113113131 188521885 226226262 377043770 565565655 1131131310