Search a number
-
+
11100022102020 = 223519211283163061
BaseRepresentation
bin1010000110000110110011…
…0111111101100000000100
31110022011002121212220211110
42201201230313331200010
52423330321124231040
635335140232205020
72223643616054235
oct241415467754004
943264077786743
1011100022102020
11359a547110645
1212b3312b39770
1362695c6a18c7
142a535b50b08c
15143b0c80c980
hexa186cdfd804

11100022102020 has 192 divisors, whose sum is σ = 32987259970560. Its totient is φ = 2781047001600.

The previous prime is 11100022102003. The next prime is 11100022102027. The reversal of 11100022102020 is 2020122000111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100022101987 and 11100022102005.

It is not an unprimeable number, because it can be changed into a prime (11100022102027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67991290 + ... + 68154350.

It is an arithmetic number, because the mean of its divisors is an integer number (171808645680).

Almost surely, 211100022102020 is an apocalyptic number.

11100022102020 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 11100022102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493629985280).

11100022102020 is an abundant number, since it is smaller than the sum of its proper divisors (21887237868540).

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

11100022102020 is a wasteful number, since it uses less digits than its factorization.

11100022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163586 (or 163584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100022102020 its reverse (2020122000111), we get a palindrome (13120144102131).

The spelling of 11100022102020 in words is "eleven trillion, one hundred billion, twenty-two million, one hundred two thousand, twenty".