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1120001220 = 22325134311131
BaseRepresentation
bin100001011000001…
…1101110011000100
32220001110221211200
41002300131303010
54243210014340
6303045302500
736516565452
oct10260356304
92801427750
101120001220
11525236548
12273104a30
1314b064820
14a8a679d2
15684d7330
hex42c1dcc4

1120001220 has 144 divisors (see below), whose sum is σ = 3744092352. Its totient is φ = 269256960.

The previous prime is 1120001209. The next prime is 1120001237. The reversal of 1120001220 is 221000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 95055 + ... + 106185.

Almost surely, 21120001220 is an apocalyptic number.

1120001220 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 1120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872046176).

1120001220 is an abundant number, since it is smaller than the sum of its proper divisors (2624091132).

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

1120001220 is a wasteful number, since it uses less digits than its factorization.

1120001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11202 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1120001220 is about 33466.4192885944. The cubic root of 1120001220 is about 1038.4991974441.

Adding to 1120001220 its reverse (221000211), we get a palindrome (1341001431).

The spelling of 1120001220 in words is "one billion, one hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5590 6708 7740 8385 10062 11131 11180 16770 20124 22262 25155 33393 33540 44524 50310 55655 66786 100179 100620 111310 133572 144703 166965 200358 222620 289406 333930 400716 434109 478633 500895 578812 667860 723515 868218 957266 1001790 1302327 1435899 1447030 1736436 1914532 2003580 2170545 2393165 2604654 2871798 2894060 4307697 4341090 4786330 5209308 5743596 6222229 6511635 7179495 8615394 8682180 9572660 12444458 13023270 14358990 17230788 18666687 21538485 24888916 26046540 28717980 31111145 37333374 43076970 56000061 62222290 74666748 86153940 93333435 112000122 124444580 186666870 224000244 280000305 373333740 560000610 1120001220