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11200101020 = 2252934955331
BaseRepresentation
bin10100110111001001…
…11111101010011100
31001220112222002020022
422123210333222130
5140414211213040
65051213011312
7544356200513
oct123344775234
931815862208
1011200101020
11482818a739
122206a83b38
131096518914
147836bb67a
154584186b5
hex29b93fa9c

11200101020 has 48 divisors (see below), whose sum is σ = 24401412000. Its totient is φ = 4313084160.

The previous prime is 11200101013. The next prime is 11200101061. The reversal of 11200101020 is 2010100211.

It is a junction number, because it is equal to n+sod(n) for n = 11200100989 and 11200101007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174755 + ... + 230085.

It is an arithmetic number, because the mean of its divisors is an integer number (508362750).

Almost surely, 211200101020 is an apocalyptic number.

11200101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200706000).

11200101020 is an abundant number, since it is smaller than the sum of its proper divisors (13201310980).

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

11200101020 is a wasteful number, since it uses less digits than its factorization.

11200101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55718 (or 55716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11200101020 its reverse (2010100211), we get a palindrome (13210201231).

The spelling of 11200101020 in words is "eleven billion, two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 349 580 698 1396 1745 3490 6980 10121 20242 40484 50605 55331 101210 110662 202420 221324 276655 553310 1106620 1604599 3209198 6418396 8022995 16045990 19310519 32091980 38621038 77242076 96552595 193105190 386210380 560005051 1120010102 2240020204 2800025255 5600050510 11200101020