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1101110120 = 2351115116573
BaseRepresentation
bin100000110100001…
…1001101101101000
32211201221012010022
41001220121231220
54223341010440
6301132340012
736200165405
oct10150315550
92751835108
101101110120
11515603370
12268914608
1314717c066
14a634b2ac
1566a04cb5
hex41a19b68

1101110120 has 64 divisors (see below), whose sum is σ = 2720787840. Its totient is φ = 397728000.

The previous prime is 1101110113. The next prime is 1101110123. The reversal of 1101110120 is 210111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1101110098 and 1101110107.

It is not an unprimeable number, because it can be changed into a prime (1101110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58154 + ... + 74726.

It is an arithmetic number, because the mean of its divisors is an integer number (42512310).

Almost surely, 21101110120 is an apocalyptic number.

1101110120 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 1101110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360393920).

1101110120 is an abundant number, since it is smaller than the sum of its proper divisors (1619677720).

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

1101110120 is a wasteful number, since it uses less digits than its factorization.

1101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16746 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1101110120 is about 33182.9793719612. The cubic root of 1101110120 is about 1032.6272577347.

Adding to 1101110120 its reverse (210111011), we get a palindrome (1311221131).

The spelling of 1101110120 in words is "one billion, one hundred one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3322 6040 6644 8305 13288 16573 16610 33146 33220 66292 66440 82865 132584 165730 182303 331460 364606 662920 729212 911515 1458424 1823030 2502523 3646060 5005046 7292120 10010092 12512615 20020184 25025230 27527753 50050460 55055506 100100920 110111012 137638765 220222024 275277530 550555060 1101110120