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1011113220 = 2235132235813
BaseRepresentation
bin111100010001000…
…101110100000100
32121110120212120210
4330101011310010
54032321110340
6244155355420
734025214645
oct7421056404
92543525523
101011113220
11479824367
12242752b70
1313162b660
14984016cc
155db79180
hex3c445d04

1011113220 has 96 divisors (see below), whose sum is σ = 3063094272. Its totient is φ = 247730688.

The previous prime is 1011113219. The next prime is 1011113227. The reversal of 1011113220 is 223111101.

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 = 1011113196 and 1011113205.

It is not an unprimeable number, because it can be changed into a prime (1011113227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171034 + ... + 176846.

It is an arithmetic number, because the mean of its divisors is an integer number (31907232).

Almost surely, 21011113220 is an apocalyptic number.

1011113220 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 1011113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531547136).

1011113220 is an abundant number, since it is smaller than the sum of its proper divisors (2051981052).

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

1011113220 is a wasteful number, since it uses less digits than its factorization.

1011113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6059 counting only the distinct ones).

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

The square root of 1011113220 is about 31798.0065412912. The cubic root of 1011113220 is about 1003.6907681389.

Adding to 1011113220 its reverse (223111101), we get a palindrome (1234224321).

The spelling of 1011113220 in words is "one billion, eleven million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 223 260 390 446 669 780 892 1115 1338 2230 2676 2899 3345 4460 5798 5813 6690 8697 11596 11626 13380 14495 17394 17439 23252 28990 29065 34788 34878 43485 57980 58130 69756 75569 86970 87195 116260 151138 173940 174390 226707 302276 348780 377845 453414 755690 906828 1133535 1296299 1511380 2267070 2592598 3888897 4534140 5185196 6481495 7777794 12962990 15555588 16851887 19444485 25925980 33703774 38888970 50555661 67407548 77777940 84259435 101111322 168518870 202222644 252778305 337037740 505556610 1011113220