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1101111220 = 2251133115121
BaseRepresentation
bin100000110100001…
…1001111110110100
32211201221020122001
41001220121332310
54223341024340
6301132345044
736200201536
oct10150317664
92751836561
101101111220
11515604180
12268915184
1314717c701
14a634b856
1566a0529a
hex41a19fb4

1101111220 has 48 divisors (see below), whose sum is σ = 2530334016. Its totient is φ = 399168000.

The previous prime is 1101111217. The next prime is 1101111247. The reversal of 1101111220 is 221111011.

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 = 1101111197 and 1101111206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65260 + ... + 80380.

It is an arithmetic number, because the mean of its divisors is an integer number (52715292).

Almost surely, 21101111220 is an apocalyptic number.

1101111220 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 1101111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265167008).

1101111220 is an abundant number, since it is smaller than the sum of its proper divisors (1429222796).

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

1101111220 is a wasteful number, since it uses less digits than its factorization.

1101111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472 (or 15470 counting only the distinct ones).

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

The square root of 1101111220 is about 33182.9959467195. The cubic root of 1101111220 is about 1032.6276015967.

Adding to 1101111220 its reverse (221111011), we get a palindrome (1322222231).

The spelling of 1101111220 in words is "one billion, one hundred one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 6620 7282 14564 15121 18205 30242 36410 60484 72820 75605 151210 166331 302420 332662 665324 831655 1663310 3326620 5005051 10010102 20020204 25025255 50050510 55055561 100101020 110111122 220222244 275277805 550555610 1101111220