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124131001230 = 23351919292591
BaseRepresentation
bin111001110011011001…
…0001100001110001110
3102212101220101012212000
41303212302030032032
54013210014014410
6133005222053130
711653040046525
oct1634662141616
9385356335760
10124131001230
1148709794525
122008327a1a6
13b922cb51b2
146017c3b4bc
1533679a5dc0
hex1ce6c8c38e

124131001230 has 128 divisors (see below), whose sum is σ = 333235814400. Its totient is φ = 32880153600.

The previous prime is 124131001223. The next prime is 124131001271. The reversal of 124131001230 is 32100131421.

124131001230 is a `hidden beast` number, since 12 + 413 + 10 + 0 + 1 + 230 = 666.

124131001230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47907235 + ... + 47909825.

It is an arithmetic number, because the mean of its divisors is an integer number (2603404800).

Almost surely, 2124131001230 is an apocalyptic number.

124131001230 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 124131001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166617907200).

124131001230 is an abundant number, since it is smaller than the sum of its proper divisors (209104813170).

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

124131001230 is a wasteful number, since it uses less digits than its factorization.

124131001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 124131001230 its reverse (32100131421), we get a palindrome (156231132651).

The spelling of 124131001230 in words is "one hundred twenty-four billion, one hundred thirty-one million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 191 270 382 573 929 955 1146 1719 1858 1910 2591 2787 2865 3438 4645 5157 5182 5574 5730 7773 8361 8595 9290 10314 12955 13935 15546 16722 17190 23319 25083 25785 25910 27870 38865 41805 46638 50166 51570 69957 77730 83610 116595 125415 139914 177439 233190 250830 349785 354878 494881 532317 699570 887195 989762 1064634 1484643 1596951 1774390 2407039 2474405 2661585 2969286 3193902 4453929 4790853 4814078 4948810 5323170 7221117 7423215 7984755 8907858 9581706 12035195 13361787 14442234 14846430 15969510 21663351 22269645 23954265 24070390 26723574 36105585 43326702 44539290 47908530 64990053 66808935 72211170 108316755 129980106 133617870 216633510 324950265 459744449 649900530 919488898 1379233347 2298722245 2758466694 4137700041 4597444490 6896166735 8275400082 12413100123 13792333470 20688500205 24826200246 41377000410 62065500615 124131001230