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11200020032 = 2659250273
BaseRepresentation
bin10100110111001001…
…01011111001000000
31001220112210222010202
422123210223321000
5140414201120112
65051211144332
7544355412425
oct123344537100
931815728122
1011200020032
114828134903
122206a450a8
1310964baab6
14783699d4c
154583ee6c2
hex29b92be40

11200020032 has 42 divisors (see below), whose sum is σ = 22608569718. Its totient is φ = 5504985088.

The previous prime is 11200020017. The next prime is 11200020037. The reversal of 11200020032 is 23002000211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10012804096 + 1187215936 = 100064^2 + 34456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11200019995 and 11200020022.

It is not an unprimeable number, because it can be changed into a prime (11200020037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 197648 + ... + 247920.

It is an arithmetic number, because the mean of its divisors is an integer number (538299279).

Almost surely, 211200020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304284859).

11200020032 is an abundant number, since it is smaller than the sum of its proper divisors (11408549686).

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

11200020032 is an frugal number, since it uses more digits than its factorization.

11200020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50403 (or 50334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11200020032 its reverse (23002000211), we get a palindrome (34202020243).

The spelling of 11200020032 in words is "eleven billion, two hundred million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 3481 3776 6962 13924 27848 50273 55696 100546 111392 201092 222784 402184 804368 1608736 2966107 3217472 5932214 11864428 23728856 47457712 94915424 175000313 189830848 350000626 700001252 1400002504 2800005008 5600010016 11200020032