Search a number
-
+
11122112022000 = 243537237830313
BaseRepresentation
bin1010000111011001000110…
…0010010100010111110000
31110101021010002222010022220
42201312101202110113300
52424211041134201000
635353232220001040
72225355206223300
oct241662142242760
943337102863286
1011122112022000
1135a8952313461
1212b7658990180
13628a70048285
142a64551b7600
151444a1c9e1a0
hexa1d918945f0

11122112022000 has 240 divisors, whose sum is σ = 41712006858912. Its totient is φ = 2542196966400.

The previous prime is 11122112021983. The next prime is 11122112022011. The reversal of 11122112022000 is 22021122111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18621157 + ... + 19209156.

Almost surely, 211122112022000 is an apocalyptic number.

11122112022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122112022000 is an abundant number, since it is smaller than the sum of its proper divisors (30589894836912).

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

11122112022000 is a wasteful number, since it uses less digits than its factorization.

11122112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830353 (or 37830330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11122112022000 its reverse (22021122111), we get a palindrome (11144133144111).

The spelling of 11122112022000 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, twenty-two thousand".