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1323011140 = 2251119331159
BaseRepresentation
bin100111011011011…
…1000110001000100
310102012110221002121
41032312320301010
510202142324030
6335140415324
744533260223
oct11666706104
93365427077
101323011140
11619894940
1230b0a7544
13181133b39
14c79d0cba
157b23847a
hex4edb8c44

1323011140 has 48 divisors (see below), whose sum is σ = 3046700160. Its totient is φ = 478586880.

The previous prime is 1323011093. The next prime is 1323011141. The reversal of 1323011140 is 411103231.

It is not an unprimeable number, because it can be changed into a prime (1323011141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26881 + ... + 58039.

It is an arithmetic number, because the mean of its divisors is an integer number (63472920).

Almost surely, 21323011140 is an apocalyptic number.

1323011140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523350080).

1323011140 is an abundant number, since it is smaller than the sum of its proper divisors (1723689020).

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

1323011140 is a wasteful number, since it uses less digits than its factorization.

1323011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31372 (or 31370 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1323011140 is about 36373.2200939097. The cubic root of 1323011140 is about 1097.7947942277.

Adding to 1323011140 its reverse (411103231), we get a palindrome (1734114371).

The spelling of 1323011140 in words is "one billion, three hundred twenty-three million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10615 21230 31159 42460 62318 124636 155795 311590 342749 623180 685498 1370996 1713745 3427490 6013687 6854980 12027374 24054748 30068435 60136870 66150557 120273740 132301114 264602228 330752785 661505570 1323011140