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2010001120 = 255171315641
BaseRepresentation
bin111011111001110…
…0010111011100000
312012002011122011221
41313303202323200
513104030013440
6531241144424
7100544504401
oct16763427340
95162148157
102010001120
11941658656
1248118b114
1326056959a
14150d3d9a8
15bb6dad4a
hex77ce2ee0

2010001120 has 96 divisors (see below), whose sum is σ = 5067238176. Its totient is φ = 750796800.

The previous prime is 2010001111. The next prime is 2010001121. The reversal of 2010001120 is 211000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353500 + ... + 359140.

It is an arithmetic number, because the mean of its divisors is an integer number (52783731).

Almost surely, 22010001120 is an apocalyptic number.

2010001120 is a gapful number since it is divisible by the number (20) 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 2010001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533619088).

2010001120 is an abundant number, since it is smaller than the sum of its proper divisors (3057237056).

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

2010001120 is a wasteful number, since it uses less digits than its factorization.

2010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2010001120 is about 44833.0360337107. The cubic root of 2010001120 is about 1262.0176626245.

Adding to 2010001120 its reverse (211000102), we get a palindrome (2221001222).

The spelling of 2010001120 in words is "two billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 131 136 160 170 262 272 340 524 544 655 680 1048 1310 1360 2096 2227 2620 2720 4192 4454 5240 5641 8908 10480 11135 11282 17816 20960 22270 22564 28205 35632 44540 45128 56410 71264 89080 90256 95897 112820 178160 180512 191794 225640 356320 383588 451280 479485 738971 767176 902560 958970 1477942 1534352 1917940 2955884 3068704 3694855 3835880 5911768 7389710 7671760 11823536 12562507 14779420 15343520 23647072 25125014 29558840 50250028 59117680 62812535 100500056 118235360 125625070 201000112 251250140 402000224 502500280 1005000560 2010001120