Search a number
-
+
11112211021122 = 23219234771423341
BaseRepresentation
bin1010000110110100001101…
…1000111111110101000010
31110100022120002111011110200
42201231003120333311002
52424030302010133442
635344513531110030
72224554643134441
oct241550330776502
943308502434420
1011112211021122
1135a4731476a02
1212b5754ba2316
13627b52a10b83
142a5b96264d58
151440c294934c
hexa1b4363fd42

11112211021122 has 192 divisors, whose sum is σ = 27388669501440. Its totient is φ = 3238855804800.

The previous prime is 11112211021097. The next prime is 11112211021123. The reversal of 11112211021122 is 22112011221111.

It is a happy number.

11112211021122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11112211021095 and 11112211021104.

It is not an unprimeable number, because it can be changed into a prime (11112211021123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26037172 + ... + 26460512.

It is an arithmetic number, because the mean of its divisors is an integer number (142649320320).

Almost surely, 211112211021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112211021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694334750720).

11112211021122 is an abundant number, since it is smaller than the sum of its proper divisors (16276458480318).

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

11112211021122 is a wasteful number, since it uses less digits than its factorization.

11112211021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423509 (or 423506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11112211021122 its reverse (22112011221111), we get a palindrome (33224222242233).

The spelling of 11112211021122 in words is "eleven trillion, one hundred twelve billion, two hundred eleven million, twenty-one thousand, one hundred twenty-two".