Search a number
-
+
100125256 = 237112337191
BaseRepresentation
bin1011111011111…
…00101001001000
320222101220000211
411331330221020
5201113002011
613534010504
72324023240
oct575745110
9228356024
10100125256
1151577650
1229646a34
131798881a
14d424b20
158bcbb21
hex5f7ca48

100125256 has 128 divisors (see below), whose sum is σ = 252149760. Its totient is φ = 36115200.

The previous prime is 100125247. The next prime is 100125271. The reversal of 100125256 is 652521001.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 524121 + ... + 524311.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 2100125256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100125256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126074880).

100125256 is an abundant number, since it is smaller than the sum of its proper divisors (152024504).

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

100125256 is a wasteful number, since it uses less digits than its factorization.

100125256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 100125256 is about 10006.2608400941. The cubic root of 100125256 is about 464.3525981210.

Adding to 100125256 its reverse (652521001), we get a palindrome (752646257).

The spelling of 100125256 in words is "one hundred million, one hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 37 44 46 56 74 77 88 92 148 154 161 184 191 253 259 296 308 322 382 407 506 518 616 644 764 814 851 1012 1036 1288 1337 1528 1628 1702 1771 2024 2072 2101 2674 2849 3256 3404 3542 4202 4393 5348 5698 5957 6808 7067 7084 8404 8786 9361 10696 11396 11914 14134 14168 14707 16808 17572 18722 22792 23828 28268 29414 30751 35144 37444 47656 48323 49469 56536 58828 61502 65527 74888 77737 96646 98938 117656 123004 131054 155474 162541 193292 197876 246008 262108 310948 325082 338261 386584 395752 524216 544159 621896 650164 676522 1088318 1137787 1300328 1353044 1787951 2176636 2275574 2706088 3575902 4353272 4551148 7151804 9102296 12515657 14303608 25031314 50062628 100125256