Search a number
-
+
11022011112 = 23371979109401
BaseRepresentation
bin10100100001111011…
…01000101011101000
31001110010212011210210
422100331220223220
5140033113323422
65021411541120
7540064356120
oct122075505350
931403764723
1011022011112
1147467020a2
1221772ba7a0
131068663288
14767b9dc80
1544798b10c
hex290f68ae8

11022011112 has 256 divisors, whose sum is σ = 33960960000. Its totient is φ = 2911334400.

The previous prime is 11022011087. The next prime is 11022011213. The reversal of 11022011112 is 21111022011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27486112 + ... + 27486512.

It is an arithmetic number, because the mean of its divisors is an integer number (132660000).

Almost surely, 211022011112 is an apocalyptic number.

11022011112 is a gapful number since it is divisible by the number (12) 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 11022011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980480000).

11022011112 is an abundant number, since it is smaller than the sum of its proper divisors (22938948888).

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

11022011112 is a wasteful number, since it uses less digits than its factorization.

11022011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022011112 its reverse (21111022011), we get a palindrome (32133033123).

The spelling of 11022011112 in words is "eleven billion, twenty-two million, eleven thousand, one hundred twelve".