Search a number
-
+
11112222222000 = 243353274974857
BaseRepresentation
bin1010000110110100010000…
…0011101110011010110000
31110100022120212120020012000
42201231010003232122300
52424030312342101000
635344515011134000
72224555140265164
oct241550403563260
943308525506160
1011112222222000
1135a4737827329
1212b57588a4300
13627b55133203
142a5b9793cca4
151440c390d000
hexa1b440ee6b0

11112222222000 has 320 divisors, whose sum is σ = 39821461680000. Its totient is φ = 2962141747200.

The previous prime is 11112222221993. The next prime is 11112222222077. The reversal of 11112222222000 is 22222221111.

It is a happy number.

11112222222000 is a `hidden beast` number, since 11 + 11 + 222 + 222 + 200 + 0 = 666.

It is a super-2 number, since 2×111122222220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

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 63 ways as a sum of consecutive naturals, for example, 148408572 + ... + 148483428.

It is an arithmetic number, because the mean of its divisors is an integer number (124442067750).

Almost surely, 211112222222000 is an apocalyptic number.

11112222222000 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 11112222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910730840000).

11112222222000 is an abundant number, since it is smaller than the sum of its proper divisors (28709239458000).

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

11112222222000 is a wasteful number, since it uses less digits than its factorization.

11112222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77638 (or 77616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11112222222000 its reverse (22222221111), we get a palindrome (11134444443111).

The spelling of 11112222222000 in words is "eleven trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-two thousand".