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123201330 = 2357718263
BaseRepresentation
bin1110101011111…
…10011100110010
322120211021110020
413111332130302
5223014420310
620120344310
73024123360
oct725763462
9276737406
10123201330
11635a8a8a
1235315096
131c6a80c5
1412510630
15ac39170
hex757e732

123201330 has 64 divisors (see below), whose sum is σ = 342724608. Its totient is φ = 27760320.

The previous prime is 123201307. The next prime is 123201341. The reversal of 123201330 is 33102321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10779 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (5355072).

Almost surely, 2123201330 is an apocalyptic number.

123201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171362304).

123201330 is an abundant number, since it is smaller than the sum of its proper divisors (219523278).

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

123201330 is a wasteful number, since it uses less digits than its factorization.

123201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123201330 is about 11099.6094525889. The cubic root of 123201330 is about 497.5901775036.

Adding to 123201330 its reverse (33102321), we get a palindrome (156303651).

Subtracting from 123201330 its reverse (33102321), we obtain a palindrome (90099009).

The spelling of 123201330 in words is "one hundred twenty-three million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 8263 14910 16526 24789 41315 49578 57841 82630 115682 123945 173523 247890 289205 347046 578410 586673 867615 1173346 1735230 1760019 2933365 3520038 4106711 5866730 8213422 8800095 12320133 17600190 20533555 24640266 41067110 61600665 123201330