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100282421780 = 2251131572331213
BaseRepresentation
bin101110101100101001…
…1000101001000010100
3100120211212001212002122
41131121103011020110
53120334244444110
6114022532155112
710150043343422
oct1353123051024
9316755055078
10100282421780
11395908a3832
1217528468a98
1395c2194518
144bd477a112
15291de25255
hex17594c5214

100282421780 has 96 divisors (see below), whose sum is σ = 214904630304. Its totient is φ = 39302774784.

The previous prime is 100282421773. The next prime is 100282421791. The reversal of 100282421780 is 87124282001.

It can be written as a sum of positive squares in 16 ways, for example, as 95316682756 + 4965739024 = 308734^2 + 70468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100282421780.

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, 82672454 + ... + 82673666.

It is an arithmetic number, because the mean of its divisors is an integer number (2238589899).

Almost surely, 2100282421780 is an apocalyptic number.

100282421780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100282421780 is an abundant number, since it is smaller than the sum of its proper divisors (114622208524).

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

100282421780 is a wasteful number, since it uses less digits than its factorization.

100282421780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The spelling of 100282421780 in words is "one hundred billion, two hundred eighty-two million, four hundred twenty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 113 157 226 233 314 452 466 565 628 785 932 1130 1165 1213 1570 2260 2330 2426 3140 4660 4852 6065 12130 17741 24260 26329 35482 36581 52658 70964 73162 88705 105316 131645 137069 146324 177410 182905 190441 263290 274138 282629 354820 365810 380882 526580 548276 565258 685345 731620 761764 952205 1130516 1370690 1413145 1904410 2741380 2826290 3808820 4133653 5652580 8267306 16534612 20668265 21519833 31937077 41336530 43039666 44372753 63874154 82673060 86079332 88745506 107599165 127748308 159685385 177491012 215198330 221863765 319370770 430396660 443727530 638741540 887455060 5014121089 10028242178 20056484356 25070605445 50141210890 100282421780