Search a number
-
+
100211222110100 = 225219509103620331
BaseRepresentation
bin10110110010010000111110…
…010010111101111110010100
3111010211002200100222110210112
4112302100332102331332110
5101113330040330010400
6553044222213342152
730052010334354353
oct2662207622757624
9433732610873715
10100211222110100
1129a2638241a832
12b2a5733637958
1343bbb543b874a
141aa636b49d99a
15b8bacd058835
hex5b243e4bdf94

100211222110100 has 72 divisors (see below), whose sum is σ = 229353242848800. Its totient is φ = 37900171900800.

The previous prime is 100211222110073. The next prime is 100211222110187. The reversal of 100211222110100 is 1011222112001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50843066 + ... + 52777265.

Almost surely, 2100211222110100 is an apocalyptic number.

100211222110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211222110100 is an abundant number, since it is smaller than the sum of its proper divisors (129142020738700).

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

100211222110100 is a wasteful number, since it uses less digits than its factorization.

100211222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103620873 (or 103620866 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211222110100 its reverse (1011222112001), we get a palindrome (101222444222101).

The spelling of 100211222110100 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 509 950 1018 1900 2036 2545 5090 9671 10180 12725 19342 25450 38684 48355 50900 96710 193420 241775 483550 967100 103620331 207240662 414481324 518101655 1036203310 1968786289 2072406620 2590508275 3937572578 5181016550 7875145156 9843931445 10362033100 19687862890 39375725780 49219657225 52742748479 98439314450 105485496958 196878628900 210970993916 263713742395 527427484790 1002112221101 1054854969580 1318568711975 2004224442202 2637137423950 4008448884404 5010561105505 5274274847900 10021122211010 20042244422020 25052805527525 50105611055050 100211222110100