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1120101220 = 2257292631049
BaseRepresentation
bin100001011000011…
…0110001101100100
32220001200001000101
41002300312031210
54243221214340
6303051353444
736520463140
oct10260661544
92801601011
101120101220
115252a4697
12273152884
1314b09b1b4
14a8a92220
1568506c9a
hex42c36364

1120101220 has 96 divisors (see below), whose sum is σ = 2794176000. Its totient is φ = 369030144.

The previous prime is 1120101217. The next prime is 1120101247. The reversal of 1120101220 is 221010211.

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 = 1120101197 and 1120101206.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1067256 + ... + 1068304.

It is an arithmetic number, because the mean of its divisors is an integer number (29106000).

Almost surely, 21120101220 is an apocalyptic number.

1120101220 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 1120101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088000).

1120101220 is an abundant number, since it is smaller than the sum of its proper divisors (1674074780).

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

1120101220 is a wasteful number, since it uses less digits than its factorization.

1120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1120101220 is about 33467.9132901948. The cubic root of 1120101220 is about 1038.5301042048.

Adding to 1120101220 its reverse (221010211), we get a palindrome (1341111431).

The spelling of 1120101220 in words is "one billion, one hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 263 290 406 526 580 812 1015 1049 1052 1315 1841 2030 2098 2630 3682 4060 4196 5245 5260 7343 7364 7627 9205 10490 14686 15254 18410 20980 29372 30421 30508 36715 36820 38135 53389 60842 73430 76270 106778 121684 146860 152105 152540 212947 213556 266945 275887 304210 425894 533890 551774 608420 851788 1064735 1067780 1103548 1379435 1931209 2129470 2758870 3862418 4258940 5517740 7724836 8000723 9656045 16001446 19312090 32002892 38624180 40003615 56005061 80007230 112010122 160014460 224020244 280025305 560050610 1120101220