Search a number
-
+
119861364100 = 22528923892
BaseRepresentation
bin110111110100001001…
…0110100010110000100
3102110101100022011210111
41233220102310112010
53430434002122400
6131021421002404
711442163533052
oct1575022642604
9373340264714
10119861364100
11469186849a5
121b2913b3404
13b3c2566baa
145b30b791d2
1531b7c1d3ba
hex1be84b4584

119861364100 has 81 divisors (see below), whose sum is σ = 263732430157. Its totient is φ = 47283976960.

The previous prime is 119861364097. The next prime is 119861364101. The reversal of 119861364100 is 1463168911.

The square root of 119861364100 is 346210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 119725688196 + 135675904 = 346014^2 + 11648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119861364101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 308126706 + ... + 308127094.

Almost surely, 2119861364100 is an apocalyptic number.

119861364100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

119861364100 is the 346210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119861364100

119861364100 is an abundant number, since it is smaller than the sum of its proper divisors (143871066057).

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

119861364100 is an frugal number, since it uses more digits than its factorization.

119861364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 119861364100 in words is "one hundred nineteen billion, eight hundred sixty-one million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 389 445 778 890 1556 1780 1945 2225 3890 4450 7780 7921 8900 9725 15842 19450 31684 34621 38900 39605 69242 79210 138484 151321 158420 173105 198025 302642 346210 396050 605284 692420 756605 792100 865525 1513210 1731050 3026420 3081269 3462100 3783025 6162538 7566050 12325076 13467569 15132100 15406345 26935138 30812690 53870276 61625380 67337845 77031725 134675690 154063450 269351380 308126900 336689225 673378450 1198613641 1346756900 2397227282 4794454564 5993068205 11986136410 23972272820 29965341025 59930682050 119861364100