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1322323120 = 245107179863
BaseRepresentation
bin100111011010001…
…0000110010110000
310102011011222022101
41032310100302300
510202003314440
6335113550144
744524363306
oct11664206260
93364158271
101322323120
11619464a28
1230aa15354
13180c52921
14c7892276
157b14e69a
hex4ed10cb0

1322323120 has 80 divisors (see below), whose sum is σ = 3124085760. Its totient is φ = 520454912.

The previous prime is 1322323117. The next prime is 1322323127. The reversal of 1322323120 is 213232231.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1322323127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531809 + ... + 1532671.

It is an arithmetic number, because the mean of its divisors is an integer number (39051072).

Almost surely, 21322323120 is an apocalyptic number.

1322323120 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 1322323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562042880).

1322323120 is an abundant number, since it is smaller than the sum of its proper divisors (1801762640).

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

1322323120 is a wasteful number, since it uses less digits than its factorization.

1322323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1322323120 is about 36363.7610816043. The cubic root of 1322323120 is about 1097.6044618062.

Adding to 1322323120 its reverse (213232231), we get a palindrome (1535555351).

The spelling of 1322323120 in words is "one billion, three hundred twenty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 179 214 358 428 535 716 856 863 895 1070 1432 1712 1726 1790 2140 2864 3452 3580 4280 4315 6904 7160 8560 8630 13808 14320 17260 19153 34520 38306 69040 76612 92341 95765 153224 154477 184682 191530 306448 308954 369364 383060 461705 617908 738728 766120 772385 923410 1235816 1477456 1532240 1544770 1846820 2471632 3089540 3693640 6179080 7387280 12358160 16529039 33058078 66116156 82645195 132232312 165290390 264464624 330580780 661161560 1322323120