Search a number
-
+
11122112210000 = 245411388925999
BaseRepresentation
bin1010000111011001000110…
…0011000010010001010000
31110101021010010022200012212
42201312101203002101100
52424211041211210000
635353232224011252
72225355210635351
oct241662143022120
943337103280185
1011122112210000
1135a8952431730
1212b7658a60b28
13628a700b2a0c
142a6455225d28
151444a1cd9c35
hexa1d918c2450

11122112210000 has 200 divisors, whose sum is σ = 29384406480000. Its totient is φ = 4043208960000.

The previous prime is 11122112209997. The next prime is 11122112210029. The reversal of 11122112210000 is 1221122111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 427777001 + ... + 427802999.

It is an arithmetic number, because the mean of its divisors is an integer number (146922032400).

Almost surely, 211122112210000 is an apocalyptic number.

11122112210000 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 11122112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692203240000).

11122112210000 is an abundant number, since it is smaller than the sum of its proper divisors (18262294270000).

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

11122112210000 is a wasteful number, since it uses less digits than its factorization.

11122112210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29927 (or 29906 counting only the distinct ones).

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

Adding to 11122112210000 its reverse (1221122111), we get a palindrome (11123333332111).

The spelling of 11122112210000 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand".