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200212120010200 = 23523198513278071
BaseRepresentation
bin101101100001011110000100…
…010010101111110111011000
3222020220002110212212001110111
4231201132010102233313120
5202220233410210311300
61545452102253254104
760112563655541314
oct5541360422576730
9866802425761414
10200212120010200
1158880535254601
121a556549a94334
138793bca57130c
143762465642b44
151822e9b58c9ba
hexb617844afdd8

200212120010200 has 96 divisors (see below), whose sum is σ = 480558012318720. Its totient is φ = 77493574800000.

The previous prime is 200212120010183. The next prime is 200212120010209. The reversal of 200212120010200 is 2010021212002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212120010209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59437165 + ... + 62715235.

It is an arithmetic number, because the mean of its divisors is an integer number (5005812628320).

Almost surely, 2200212120010200 is an apocalyptic number.

200212120010200 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 200212120010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240279006159360).

200212120010200 is an abundant number, since it is smaller than the sum of its proper divisors (280345892308520).

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

200212120010200 is a wasteful number, since it uses less digits than its factorization.

200212120010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287969 (or 3287960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200212120010200 its reverse (2010021212002), we get a palindrome (202222141222202).

The spelling of 200212120010200 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 9851 19702 39404 49255 78808 98510 197020 246275 305381 394040 492550 610762 985100 1221524 1526905 1970200 2443048 3053810 3278071 6107620 6556142 7634525 12215240 13112284 15269050 16390355 26224568 30538100 32780710 61076200 65561420 81951775 101620201 131122840 163903550 203240402 327807100 406480804 508101005 655614200 812961608 1016202010 2032404020 2540505025 4064808040 5081010050 10162020100 20324040200 32292277421 64584554842 129169109684 161461387105 258338219368 322922774210 645845548420 807306935525 1001060600051 1291691096840 1614613871050 2002121200102 3229227742100 4004242400204 5005303000255 6458455484200 8008484800408 10010606000510 20021212001020 25026515001275 40042424002040 50053030002550 100106060005100 200212120010200