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124443244120 = 235132292813719
BaseRepresentation
bin111001111100101100…
…1010011011001011000
3102220012122220210120111
41303321121103121120
54014324432302440
6133100214334104
711663551056616
oct1637131233130
9386178823514
10124443244120
1148859a701a8
122014b95a334
13b9728ab6c0
1460474ba6b6
1533850d24ea
hex1cf9653658

124443244120 has 128 divisors (see below), whose sum is σ = 304011792000. Its totient is φ = 45572567040.

The previous prime is 124443244091. The next prime is 124443244141. The reversal of 124443244120 is 21442344421.

It is a happy number.

It is a super-2 number, since 2×1244432441202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33459621 + ... + 33463339.

It is an arithmetic number, because the mean of its divisors is an integer number (2375092125).

Almost surely, 2124443244120 is an apocalyptic number.

124443244120 is a gapful number since it is divisible by the number (10) 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 124443244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152005896000).

124443244120 is an abundant number, since it is smaller than the sum of its proper divisors (179568547880).

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

124443244120 is a wasteful number, since it uses less digits than its factorization.

124443244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 124443244120 its reverse (21442344421), we get a palindrome (145885588541).

The spelling of 124443244120 in words is "one hundred twenty-four billion, four hundred forty-three million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 281 458 520 562 916 1124 1145 1405 1832 2248 2290 2810 2977 3653 3719 4580 5620 5954 7306 7438 9160 11240 11908 14612 14876 14885 18265 18595 23816 29224 29752 29770 36530 37190 48347 59540 64349 73060 74380 96694 119080 128698 146120 148760 193388 241735 257396 321745 386776 483470 514792 643490 836537 851651 966940 1045039 1286980 1673074 1703302 1933880 2090078 2573960 3346148 3406604 4180156 4182685 4258255 5225195 6692296 6813208 8360312 8365370 8516510 10450390 11071463 13585507 16730740 17033020 20900780 22142926 27171014 33461480 34066040 41801560 44285852 54342028 55357315 67927535 88571704 108684056 110714630 135855070 221429260 239313931 271710140 442858520 478627862 543420280 957255724 1196569655 1914511448 2393139310 3111081103 4786278620 6222162206 9572557240 12444324412 15555405515 24888648824 31110811030 62221622060 124443244120