Search a number
-
+
11122110201100 = 2252761146151251
BaseRepresentation
bin1010000111011001000101…
…1011010111110100001100
31110101021002222112121112011
42201312101123113310030
52424211040202413400
635353232112551004
72225355154600453
oct241662133276414
943337088477464
1011122110201100
1135a895128a388
1212b7658252464
13628a6c85b512
142a6454c61b9a
151444a1a3e8ba
hexa1d916d7d0c

11122110201100 has 36 divisors (see below), whose sum is σ = 24166694123208. Its totient is φ = 4442998000000.

The previous prime is 11122110201053. The next prime is 11122110201107. The reversal of 11122110201100 is 110201122111.

It is a happy number.

11122110201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11122110201107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72999526 + ... + 73151725.

It is an arithmetic number, because the mean of its divisors is an integer number (671297058978).

Almost surely, 211122110201100 is an apocalyptic number.

11122110201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122110201100 is an abundant number, since it is smaller than the sum of its proper divisors (13044583922108).

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

11122110201100 is a wasteful number, since it uses less digits than its factorization.

11122110201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146152026 (or 146152019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11122110201100 its reverse (110201122111), we get a palindrome (11232311323211).

The spelling of 11122110201100 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 761 1522 3044 3805 7610 15220 19025 38050 76100 146151251 292302502 584605004 730756255 1461512510 2923025020 3653781275 7307562550 14615125100 111221102011 222442204022 444884408044 556105510055 1112211020110 2224422040220 2780527550275 5561055100550 11122110201100