Search a number
-
+
124233321030 = 235713404911239
BaseRepresentation
bin111001110110011100…
…0100000101001000110
3102212200000220121020020
41303230320200221012
54013412212233110
6133023315120010
711655421543140
oct1635470405106
9385600817206
10124233321030
114876151a945
12200b15a3006
13b93b25b860
146027673c90
153371967d70
hex1cece20a46

124233321030 has 128 divisors (see below), whose sum is σ = 367089408000. Its totient is φ = 26203060224.

The previous prime is 124233321029. The next prime is 124233321061. The reversal of 124233321030 is 30123332421.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 11048151 + ... + 11059389.

It is an arithmetic number, because the mean of its divisors is an integer number (2867886000).

Almost surely, 2124233321030 is an apocalyptic number.

124233321030 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 124233321030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183544704000).

124233321030 is an abundant number, since it is smaller than the sum of its proper divisors (242856086970).

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

124233321030 is a wasteful number, since it uses less digits than its factorization.

124233321030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15318.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 124233321030 its reverse (30123332421), we get a palindrome (154356653451).

The spelling of 124233321030 in words is "one hundred twenty-four billion, two hundred thirty-three million, three hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4049 8098 11239 12147 20245 22478 24294 28343 33717 40490 52637 56195 56686 60735 67434 78673 85029 105274 112390 121470 141715 146107 157346 157911 168585 170058 236019 263185 283430 292214 315822 337170 368459 393365 425145 438321 472038 526370 730535 736918 786730 789555 850290 876642 1022749 1105377 1180095 1461070 1579110 1842295 2045498 2191605 2210754 2360190 3068247 3684590 4383210 5113745 5526885 6136494 10227490 11053770 15341235 30682470 45506711 91013422 136520133 227533555 273040266 318546977 455067110 591587243 637093954 682600665 955640931 1183174486 1365201330 1592734885 1774761729 1911281862 2957936215 3185469770 3549523458 4141110701 4778204655 5915872430 8282221402 8873808645 9556409310 12423332103 17747617290 20705553505 24846664206 41411107010 62116660515 124233321030