Search a number
-
+
124106510080 = 28573282677
BaseRepresentation
bin111001110010101010…
…0110000111100000000
3102212100012021221022101
41303211110300330000
54013132231310310
6133002545120144
711652321634000
oct1634524607400
9385305257271
10124106510080
11486a6986a03
1220077029054
13b91abbb7a7
1460148a4000
15336576943a
hex1ce5530f00

124106510080 has 144 divisors (see below), whose sum is σ = 346676299200. Its totient is φ = 42550652928.

The previous prime is 124106510071. The next prime is 124106510081. The reversal of 124106510080 is 80015601421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124106510081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297702 + ... + 580378.

It is an arithmetic number, because the mean of its divisors is an integer number (2407474300).

Almost surely, 2124106510080 is an apocalyptic number.

124106510080 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 124106510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173338149600).

124106510080 is an abundant number, since it is smaller than the sum of its proper divisors (222569789120).

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

124106510080 is an frugal number, since it uses more digits than its factorization.

124106510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282719 (or 282691 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 124106510080 in words is "one hundred twenty-four billion, one hundred six million, five hundred ten thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 560 640 686 784 896 980 1120 1280 1372 1568 1715 1792 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 8960 10976 12544 13720 15680 21952 27440 31360 43904 54880 62720 87808 109760 219520 282677 439040 565354 1130708 1413385 1978739 2261416 2826770 3957478 4522832 5653540 7914956 9045664 9893695 11307080 13851173 15829912 18091328 19787390 22614160 27702346 31659824 36182656 39574780 45228320 55404692 63319648 69255865 72365312 79149560 90456640 96958211 110809384 126639296 138511730 158299120 180913280 193916422 221618768 253278592 277023460 316598240 361826560 387832844 443237536 484791055 506557184 554046920 633196480 775665688 886475072 969582110 1108093840 1266392960 1551331376 1772950144 1939164220 2216187680 2532785920 3102662752 3545900288 3878328440 4432375360 6205325504 7756656880 8864750720 12410651008 15513313760 17729501440 24821302016 31026627520 62053255040 124106510080