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1350135281 = 112931311439
BaseRepresentation
bin101000001111001…
…0110110111110001
310111002111222102102
41100132112313301
510231113312111
6341550030145
745312650315
oct12036266761
93432458372
101350135281
11633130690
123181a8355
1318693cb21
14cb451b45
157d7e513b
hex50796df1

1350135281 has 32 divisors (see below), whose sum is σ = 1581465600. Its totient is φ = 1140552000.

The previous prime is 1350135271. The next prime is 1350135287. The reversal of 1350135281 is 1825310531.

It is a happy number.

It is not a de Polignac number, because 1350135281 - 210 = 1350134257 is a prime.

It is a super-2 number, since 2×13501352812 = 3645730554001897922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1350135287) 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 31 ways as a sum of consecutive naturals, for example, 3075260 + ... + 3075698.

It is an arithmetic number, because the mean of its divisors is an integer number (49420800).

Almost surely, 21350135281 is an apocalyptic number.

1350135281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1350135281 is the 16433-rd centered decagonal number.

It is an amenable number.

1350135281 is a deficient number, since it is larger than the sum of its proper divisors (231330319).

1350135281 is a wasteful number, since it uses less digits than its factorization.

1350135281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1350135281 is about 36744.1870368634. The cubic root of 1350135281 is about 1105.2463653565.

It can be divided in two parts, 1350 and 135281, that added together give a palindrome (136631).

The spelling of 1350135281 in words is "one billion, three hundred fifty million, one hundred thirty-five thousand, two hundred eighty-one".

Divisors: 1 11 29 31 311 319 341 439 899 3421 4829 9019 9641 9889 12731 13609 99209 106051 136529 140041 149699 279589 394661 1501819 3075479 3959341 4232399 4341271 43552751 46556389 122739571 1350135281