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1323506112 = 263231072801
BaseRepresentation
bin100111011100011…
…0001100111000000
310102020102002001220
41032320301213000
510202304143422
6335155155040
744540421255
oct11670614700
93366362056
101323506112
1161a0a2805
1230b2a5a80
13181278216
14c7abd42c
157b2d4e5c
hex4ee319c0

1323506112 has 112 divisors (see below), whose sum is σ = 3689494272. Its totient is φ = 417894400.

The previous prime is 1323506111. The next prime is 1323506137. The reversal of 1323506112 is 2116053231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323506111) 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, 471112 + ... + 473912.

Almost surely, 21323506112 is an apocalyptic number.

1323506112 is a gapful number since it is divisible by the number (12) 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 1323506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844747136).

1323506112 is an abundant number, since it is smaller than the sum of its proper divisors (2365988160).

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

1323506112 is a wasteful number, since it uses less digits than its factorization.

1323506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1323506112 is about 36380.0235294042. The cubic root of 1323506112 is about 1097.9316814437.

Adding to 1323506112 its reverse (2116053231), we get a palindrome (3439559343).

The spelling of 1323506112 in words is "one billion, three hundred twenty-three million, five hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 107 138 184 192 214 276 321 368 428 552 642 736 856 1104 1284 1472 1712 2208 2461 2568 2801 3424 4416 4922 5136 5602 6848 7383 8403 9844 10272 11204 14766 16806 19688 20544 22408 29532 33612 39376 44816 59064 64423 67224 78752 89632 118128 128846 134448 157504 179264 193269 236256 257692 268896 299707 386538 472512 515384 537792 599414 773076 899121 1030768 1198828 1546152 1798242 2061536 2397656 3092304 3596484 4123072 4795312 6184608 6893261 7192968 9590624 12369216 13786522 14385936 19181248 20679783 27573044 28771872 41359566 55146088 57543744 82719132 110292176 165438264 220584352 330876528 441168704 661753056 1323506112