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323131120 = 245131571979
BaseRepresentation
bin10011010000101…
…001011011110000
3211112000202120021
4103100221123300
51130210143440
652021453224
711002366144
oct2320513360
9745022507
10323131120
11156443214
1290271214
1351c39460
1430cb5224
151d57c84a
hex134296f0

323131120 has 80 divisors (see below), whose sum is σ = 814635360. Its totient is φ = 118490112.

The previous prime is 323131103. The next prime is 323131129. The reversal of 323131120 is 21131323.

323131120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 323131094 and 323131103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323131129) 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, 162291 + ... + 164269.

It is an arithmetic number, because the mean of its divisors is an integer number (10182942).

Almost surely, 2323131120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407317680).

323131120 is an abundant number, since it is smaller than the sum of its proper divisors (491504240).

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

323131120 is a wasteful number, since it uses less digits than its factorization.

323131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 323131120 is about 17975.8482414600. The cubic root of 323131120 is about 686.2140333482.

Adding to 323131120 its reverse (21131323), we get a palindrome (344262443).

It can be divided in two parts, 32313 and 1120, that added together give a palindrome (33433).

The spelling of 323131120 in words is "three hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 208 260 314 520 628 785 1040 1256 1570 1979 2041 2512 3140 3958 4082 6280 7916 8164 9895 10205 12560 15832 16328 19790 20410 25727 31664 32656 39580 40820 51454 79160 81640 102908 128635 158320 163280 205816 257270 310703 411632 514540 621406 1029080 1242812 1553515 2058160 2485624 3107030 4039139 4971248 6214060 8078278 12428120 16156556 20195695 24856240 32313112 40391390 64626224 80782780 161565560 323131120