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124043004100 = 225217113757853
BaseRepresentation
bin111001110000110001…
…0100000100011000100
3102212011202210111111001
41303201202200203010
54013020002112400
6132552400023044
711650621065241
oct1634142404304
9385152714431
10124043004100
1148674050a24
1220059901a84
13b90a9b4aa2
14600a2925c8
15335edc2a6a
hex1ce18a08c4

124043004100 has 144 divisors (see below), whose sum is σ = 288246582288. Its totient is φ = 46169948160.

The previous prime is 124043004073. The next prime is 124043004109. The reversal of 124043004100 is 1400340421.

It can be written as a sum of positive squares in 24 ways, for example, as 116259177024 + 7783827076 = 340968^2 + 88226^2 .

It is not an unprimeable number, because it can be changed into a prime (124043004109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145419274 + ... + 145420126.

It is an arithmetic number, because the mean of its divisors is an integer number (2001712377).

Almost surely, 2124043004100 is an apocalyptic number.

124043004100 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 124043004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144123291144).

124043004100 is an abundant number, since it is smaller than the sum of its proper divisors (164203578188).

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

124043004100 is a wasteful number, since it uses less digits than its factorization.

124043004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 124043004100 its reverse (1400340421), we get a palindrome (125443344521).

The spelling of 124043004100 in words is "one hundred twenty-four billion, forty-three million, four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 113 170 226 340 425 452 565 757 850 853 1130 1514 1700 1706 1921 2260 2825 3028 3412 3785 3842 4265 5650 7570 7684 8530 9605 11300 12869 14501 15140 17060 18925 19210 21325 25738 29002 37850 38420 42650 48025 51476 58004 64345 72505 75700 85300 85541 96050 96389 128690 145010 171082 192100 192778 257380 290020 321725 342164 362525 385556 427705 481945 643450 645721 725050 855410 963890 1286900 1291442 1450100 1454197 1638613 1710820 1927780 2138525 2409725 2582884 2908394 3228605 3277226 4277050 4819450 5816788 6457210 6554452 7270985 8193065 8554100 9638900 10977257 12914420 14541970 16143025 16386130 21954514 29083940 32286050 32772260 36354925 40965325 43909028 54886285 64572100 72709850 72966473 81930650 109772570 145419700 145932946 163861300 219545140 274431425 291865892 364832365 548862850 729664730 1097725700 1240430041 1459329460 1824161825 2480860082 3648323650 4961720164 6202150205 7296647300 12404300410 24808600820 31010751025 62021502050 124043004100