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11100111220 = 225111941239271
BaseRepresentation
bin10100101011001111…
…00100000101110100
31001122120211002000101
422111213210011310
5140213112024340
65033241523444
7542033250202
oct122547440564
931576732011
1011100111220
1147867a5940
1221994a3584
13107b8a9963
147742d0072
1544e766c9a
hex2959e4174

11100111220 has 192 divisors, whose sum is σ = 27636940800. Its totient is φ = 3701376000.

The previous prime is 11100111181. The next prime is 11100111227. The reversal of 11100111220 is 2211100111.

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 = 11100111197 and 11100111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100111227) 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, 40959685 + ... + 40959955.

It is an arithmetic number, because the mean of its divisors is an integer number (143942400).

Almost surely, 211100111220 is an apocalyptic number.

11100111220 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 11100111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

11100111220 is an abundant number, since it is smaller than the sum of its proper divisors (16536829580).

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

11100111220 is a wasteful number, since it uses less digits than its factorization.

11100111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

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

Adding to 11100111220 its reverse (2211100111), we get a palindrome (13311211331).

It can be divided in two parts, 111001 and 11220, that added together give a palindrome (122221).

The spelling of 11100111220 in words is "eleven billion, one hundred million, one hundred eleven thousand, two hundred twenty".