Search a number
-
+
100012200220 = 225731071374673
BaseRepresentation
bin101110100100100110…
…0010001000100011100
3100120011000121011210201
41131021030101010130
53114311110401340
6113540040313244
710140252450442
oct1351114210434
9316130534721
10100012200220
1139462309329
1217471a72824
13957b1c18ca
144baa918b92
15290534979a
hex174931111c

100012200220 has 96 divisors (see below), whose sum is σ = 216507307968. Its totient is φ = 38794493952.

The previous prime is 100012200199. The next prime is 100012200221. The reversal of 100012200220 is 22002210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100012200197 and 100012200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012200221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21399804 + ... + 21404476.

It is an arithmetic number, because the mean of its divisors is an integer number (2255284458).

Almost surely, 2100012200220 is an apocalyptic number.

100012200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012200220 is an abundant number, since it is smaller than the sum of its proper divisors (116495107748).

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

100012200220 is a wasteful number, since it uses less digits than its factorization.

100012200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100012200220 its reverse (22002210001), we get a palindrome (122014410221).

The spelling of 100012200220 in words is "one hundred billion, twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 107 137 146 214 274 292 365 428 535 548 685 730 1070 1370 1460 2140 2740 4673 7811 9346 10001 14659 15622 18692 20002 23365 29318 31244 39055 40004 46730 50005 58636 73295 78110 93460 100010 146590 156220 200020 293180 341129 500011 640201 682258 1000022 1070107 1280402 1364516 1705645 2000044 2140214 2500055 2560804 3201005 3411290 4280428 5000110 5350535 6402010 6822580 10000220 10701070 12804020 21402140 36500803 46734673 68501507 73001606 93469346 137003014 146003212 182504015 186938692 233673365 274006028 342507535 365008030 467346730 685015070 730016060 934693460 1370030140 5000610011 10001220022 20002440044 25003050055 50006100110 100012200220