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101120220200 = 2352858158921
BaseRepresentation
bin101111000101100111…
…1000001110000101000
3100200000020112102110202
41132023033001300220
53124043234021300
6114242021131332
710206565455416
oct1361317016050
9320006472422
10101120220200
113998080111a
1217720b59b48
1396c691cb2c
144c73b442b6
15296c766ad5
hex178b3c1c28

101120220200 has 48 divisors (see below), whose sum is σ = 235135900860. Its totient is φ = 40442688000.

The previous prime is 101120220191. The next prime is 101120220203. The reversal of 101120220200 is 2022021101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1805740036 + 99314480164 = 42494^2 + 315142^2 .

It is not an unprimeable number, because it can be changed into a prime (101120220203) 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 11 ways as a sum of consecutive naturals, for example, 1686740 + ... + 1745660.

Almost surely, 2101120220200 is an apocalyptic number.

101120220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120220200 is an abundant number, since it is smaller than the sum of its proper divisors (134015680660).

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

101120220200 is a wasteful number, since it uses less digits than its factorization.

101120220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67518 (or 67509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101120220200 its reverse (2022021101), we get a palindrome (103142241301).

The spelling of 101120220200 in words is "one hundred one billion, one hundred twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 8581 17162 34324 42905 58921 68648 85810 117842 171620 214525 235684 294605 343240 429050 471368 589210 858100 1178420 1473025 1716200 2356840 2946050 5892100 11784200 505601101 1011202202 2022404404 2528005505 4044808808 5056011010 10112022020 12640027525 20224044040 25280055050 50560110100 101120220200