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1101111011220 = 22351137101446441
BaseRepresentation
bin10000000001011111010…
…101001010011110010100
310220021011022121222121110
4100001133111022132110
5121020033404324340
62201502102215020
7142360362111213
oct20013725123624
93807138558543
101101111011220
11394a84507190
1215949ba24470
137cab0012b6c
143b418c7107a
151d9982ae680
hex1005f54a794

1101111011220 has 192 divisors, whose sum is σ = 3488504931072. Its totient is φ = 257149440000.

The previous prime is 1101111011213. The next prime is 1101111011227. The reversal of 1101111011220 is 221101111011.

It is an interprime number because it is at equal distance from previous prime (1101111011213) and next prime (1101111011227).

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 = 1101111011196 and 1101111011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111011227) 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, 2243200 + ... + 2689640.

It is an arithmetic number, because the mean of its divisors is an integer number (18169296516).

Almost surely, 21101111011220 is an apocalyptic number.

1101111011220 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 1101111011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744252465536).

1101111011220 is an abundant number, since it is smaller than the sum of its proper divisors (2387393919852).

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

1101111011220 is a wasteful number, since it uses less digits than its factorization.

1101111011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446602 (or 446600 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101111011220 its reverse (221101111011), we get a palindrome (1322212122231).

The spelling of 1101111011220 in words is "one trillion, one hundred one billion, one hundred eleven million, eleven thousand, two hundred twenty".