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2001012200 = 2352111753503
BaseRepresentation
bin111011101000101…
…0000010111101000
312011110020221200222
41313101100113220
513044224342300
6530320345212
7100405215545
oct16721202750
95143227628
102001012200
119375790a0
1247a175208
1325b73ccb5
1414da7dbcc
15baa12785
hex774505e8

2001012200 has 96 divisors (see below), whose sum is σ = 5373941760. Its totient is φ = 684825600.

The previous prime is 2001012179. The next prime is 2001012229. The reversal of 2001012200 is 22101002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 10649 + ... + 64151.

It is an arithmetic number, because the mean of its divisors is an integer number (55978560).

Almost surely, 22001012200 is an apocalyptic number.

2001012200 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 2001012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686970880).

2001012200 is an abundant number, since it is smaller than the sum of its proper divisors (3372929560).

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

2001012200 is a wasteful number, since it uses less digits than its factorization.

2001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53547 (or 53538 counting only the distinct ones).

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

The square root of 2001012200 is about 44732.6748585416. The cubic root of 2001012200 is about 1260.1335627291.

Adding to 2001012200 its reverse (22101002), we get a palindrome (2023113202).

The spelling of 2001012200 in words is "two billion, one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 53503 107006 214012 267515 428024 535030 588533 909551 1070060 1177066 1337575 1819102 2140120 2354132 2675150 2942665 3638204 4547755 4708264 5350300 5885330 7276408 9095510 10005061 10700600 11770660 14713325 18191020 20010122 22738775 23541320 29426650 36382040 40020244 45477550 50025305 58853300 80040488 90955100 100050610 117706600 181910200 200101220 250126525 400202440 500253050 1000506100 2001012200