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1323033140 = 22511132320113
BaseRepresentation
bin100111011011011…
…1110001000110100
310102012112001021102
41032312332020310
510202144030030
6335141105232
744533411322
oct11666761064
93365461242
101323033140
116198aa420
1230b0b8218
13181140b60
14c79d8d12
157b23ec45
hex4edbe234

1323033140 has 96 divisors (see below), whose sum is σ = 3406185216. Its totient is φ = 424765440.

The previous prime is 1323033139. The next prime is 1323033167. The reversal of 1323033140 is 413303231.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 55724 + ... + 75836.

It is an arithmetic number, because the mean of its divisors is an integer number (35481096).

Almost surely, 21323033140 is an apocalyptic number.

1323033140 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 1323033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703092608).

1323033140 is an abundant number, since it is smaller than the sum of its proper divisors (2083152076).

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

1323033140 is a wasteful number, since it uses less digits than its factorization.

1323033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20169 (or 20167 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1323033140 is about 36373.5225129489. The cubic root of 1323033140 is about 1097.8008791731.

Adding to 1323033140 its reverse (413303231), we get a palindrome (1736336371).

The spelling of 1323033140 in words is "one billion, three hundred twenty-three million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 13156 16445 20113 32890 40226 65780 80452 100565 201130 221243 261469 402260 442486 462599 522938 884972 925198 1045876 1106215 1307345 1850396 2212430 2312995 2614690 2876159 4424860 4625990 5088589 5229380 5752318 6013787 9251980 10177178 11504636 12027574 14380795 20354356 24055148 25442945 28761590 30068935 50885890 57523180 60137870 66151657 101771780 120275740 132303314 264606628 330758285 661516570 1323033140