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123420330 = 232511592113
BaseRepresentation
bin1110101101100…
…11111010101010
322121020101212100
413112303322222
5223043422310
620125154230
73026025015
oct726637252
9277211770
10123420330
1163738580
12353bb976
131c7539a7
141256a37c
15ac7dec0
hex75b3eaa

123420330 has 96 divisors (see below), whose sum is σ = 356166720. Its totient is φ = 29399040.

The previous prime is 123420329. The next prime is 123420347. The reversal of 123420330 is 33024321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 57354 + ... + 59466.

It is an arithmetic number, because the mean of its divisors is an integer number (3710070).

Almost surely, 2123420330 is an apocalyptic number.

123420330 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 123420330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083360).

123420330 is an abundant number, since it is smaller than the sum of its proper divisors (232746390).

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

123420330 is a wasteful number, since it uses less digits than its factorization.

123420330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123420330 is about 11109.4702844015. The cubic root of 123420330 is about 497.8848381313.

Adding to 123420330 its reverse (33024321), we get a palindrome (156444651).

The spelling of 123420330 in words is "one hundred twenty-three million, four hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 165 177 198 295 330 354 495 531 590 649 885 990 1062 1298 1770 1947 2113 2655 3245 3894 4226 5310 5841 6339 6490 9735 10565 11682 12678 19017 19470 21130 23243 29205 31695 38034 46486 58410 63390 69729 95085 116215 124667 139458 190170 209187 232430 249334 348645 374001 418374 623335 697290 748002 1045935 1122003 1246670 1371337 1870005 2091870 2244006 2742674 3740010 4114011 5610015 6856685 8228022 11220030 12342033 13713370 20570055 24684066 41140110 61710165 123420330