Search a number
-
+
11100111000220 = 22511597944924109
BaseRepresentation
bin1010000110000111001000…
…1011000101001010011100
31110022011022211011102020101
42201201302023011022130
52423331011404001340
635335153125430444
72223646045510534
oct241416213051234
943264284142211
1011100111000220
11359a59230a130
1212b333886b424
13626974c291a8
142a536924c4c4
15143b1551cc9a
hexa18722c529c

11100111000220 has 192 divisors, whose sum is σ = 26247110400000. Its totient is φ = 3908874977280.

The previous prime is 11100111000197. The next prime is 11100111000221. The reversal of 11100111000220 is 2200011100111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11100111000197 and 11100111000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100111000221) 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, 460401526 + ... + 460425634.

It is an arithmetic number, because the mean of its divisors is an integer number (136703700000).

Almost surely, 211100111000220 is an apocalyptic number.

11100111000220 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 11100111000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123555200000).

11100111000220 is an abundant number, since it is smaller than the sum of its proper divisors (15146999399780).

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

11100111000220 is a wasteful number, since it uses less digits than its factorization.

11100111000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24716 (or 24714 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11100111000220 its reverse (2200011100111), we get a palindrome (13300122100331).

The spelling of 11100111000220 in words is "eleven trillion, one hundred billion, one hundred eleven million, two hundred twenty", and thus it is an aban number.