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1001220120 = 233256194493
BaseRepresentation
bin111011101011010…
…110100000011000
32120202222020210200
4323223112200120
54022303020440
6243203342200
733545142045
oct7353264030
92522866720
101001220120
1147418754a
1223b381960
1312c576654
1496d881cc
155cd72c30
hex3bad6818

1001220120 has 96 divisors (see below), whose sum is σ = 3259947600. Its totient is φ = 266501376.

The previous prime is 1001220097. The next prime is 1001220131. The reversal of 1001220120 is 210221001.

1001220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220594 + ... + 225086.

Almost surely, 21001220120 is an apocalyptic number.

1001220120 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 1001220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629973800).

1001220120 is an abundant number, since it is smaller than the sum of its proper divisors (2258727480).

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

1001220120 is a wasteful number, since it uses less digits than its factorization.

1001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5122 counting only the distinct ones).

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

The square root of 1001220120 is about 31642.0625117896. The cubic root of 1001220120 is about 1000.4065413684.

Adding to 1001220120 its reverse (210221001), we get a palindrome (1211441121).

The spelling of 1001220120 in words is "one billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 619 1238 1857 2476 3095 3714 4493 4952 5571 6190 7428 8986 9285 11142 12380 13479 14856 17972 18570 22284 22465 24760 26958 27855 35944 37140 40437 44568 44930 53916 55710 67395 74280 80874 89860 107832 111420 134790 161748 179720 202185 222840 269580 323496 404370 539160 808740 1617480 2781167 5562334 8343501 11124668 13905835 16687002 22249336 25030503 27811670 33374004 41717505 50061006 55623340 66748008 83435010 100122012 111246680 125152515 166870020 200244024 250305030 333740040 500610060 1001220120