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1323142120 = 235471036833
BaseRepresentation
bin100111011011101…
…1000101111101000
310102012201120202201
41032313120233220
510202211021440
6335143305544
744534344126
oct11667305750
93365646681
101323142120
11619974293
1230b14b2b4
1318117b641
14c7a26916
157b26219a
hex4edd8be8

1323142120 has 64 divisors (see below), whose sum is σ = 3070379520. Its totient is φ = 512891904.

The previous prime is 1323142111. The next prime is 1323142133. The reversal of 1323142120 is 212413231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190224 + ... + 197056.

It is an arithmetic number, because the mean of its divisors is an integer number (47974680).

Almost surely, 21323142120 is an apocalyptic number.

1323142120 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 1323142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535189760).

1323142120 is an abundant number, since it is smaller than the sum of its proper divisors (1747237400).

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

1323142120 is a wasteful number, since it uses less digits than its factorization.

1323142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1323142120 is about 36375.0205498224. The cubic root of 1323142120 is about 1097.8310207852.

Adding to 1323142120 its reverse (212413231), we get a palindrome (1535555351).

The spelling of 1323142120 in words is "one billion, three hundred twenty-three million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 103 188 206 235 376 412 470 515 824 940 1030 1880 2060 4120 4841 6833 9682 13666 19364 24205 27332 34165 38728 48410 54664 68330 96820 136660 193640 273320 321151 642302 703799 1284604 1407598 1605755 2569208 2815196 3211510 3518995 5630392 6423020 7037990 12846040 14075980 28151960 33078553 66157106 132314212 165392765 264628424 330785530 661571060 1323142120