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322130112 = 26341151271
BaseRepresentation
bin10011001100110…
…101000011000000
3211110010220102220
4103030311003000
51124431130422
651544211040
710661026563
oct2314650300
9743126386
10322130112
1115591a137
128ba69a80
1351978945
1430ad44da
151d430e5c
hex133350c0

322130112 has 112 divisors (see below), whose sum is σ = 882115584. Its totient is φ = 103680000.

The previous prime is 322130099. The next prime is 322130119. The reversal of 322130112 is 211031223.

322130112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 322130091 and 322130100.

It is not an unprimeable number, because it can be changed into a prime (322130119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188537 + ... + 1188807.

It is an arithmetic number, because the mean of its divisors is an integer number (7876032).

Almost surely, 2322130112 is an apocalyptic number.

322130112 is a gapful number since it is divisible by the number (32) 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 322130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441057792).

322130112 is an abundant number, since it is smaller than the sum of its proper divisors (559985472).

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

322130112 is a wasteful number, since it uses less digits than its factorization.

322130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 322130112 is about 17947.9835079042. The cubic root of 322130112 is about 685.5047069835.

Adding to 322130112 its reverse (211031223), we get a palindrome (533161335).

It can be divided in two parts, 3221 and 30112, that added together give a palindrome (33333).

The spelling of 322130112 in words is "three hundred twenty-two million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 151 164 192 246 271 302 328 453 492 542 604 656 813 906 984 1084 1208 1312 1626 1812 1968 2168 2416 2624 3252 3624 3936 4336 4832 6191 6504 7248 7872 8672 9664 11111 12382 13008 14496 17344 18573 22222 24764 26016 28992 33333 37146 40921 44444 49528 52032 66666 74292 81842 88888 99056 122763 133332 148584 163684 177776 198112 245526 266664 297168 327368 355552 396224 491052 533328 594336 654736 711104 982104 1066656 1188672 1309472 1677761 1964208 2133312 2618944 3355522 3928416 5033283 6711044 7856832 10066566 13422088 20133132 26844176 40266264 53688352 80532528 107376704 161065056 322130112