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4031114220200 = 2352233100985733
BaseRepresentation
bin111010101010010001001…
…000011001001010101000
3112021101000021120212002002
4322222101020121022220
51012021210220021300
612323511315430132
7564144524342264
oct72522110311250
915241007525062
104031114220200
111314649982841
1255130bbb5348
13233194c7cc12
14dd16d7490a4
156ecd28285d5
hex3aa912192a8

4031114220200 has 96 divisors (see below), whose sum is σ = 9422003705400. Its totient is φ = 1603915407360.

The previous prime is 4031114220193. The next prime is 4031114220229. The reversal of 4031114220200 is 20224111304.

It can be written as a sum of positive squares in 12 ways, for example, as 137903793316 + 3893210426884 = 371354^2 + 1973122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46976534 + ... + 47062266.

Almost surely, 24031114220200 is an apocalyptic number.

4031114220200 is a gapful number since it is divisible by the number (40) 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 4031114220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711001852700).

4031114220200 is an abundant number, since it is smaller than the sum of its proper divisors (5390889485200).

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

4031114220200 is a wasteful number, since it uses less digits than its factorization.

4031114220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86991 (or 86982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4031114220200 its reverse (20224111304), we get a palindrome (4051338331504).

The spelling of 4031114220200 in words is "four trillion, thirty-one billion, one hundred fourteen million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 1009 1165 1864 2018 2330 4036 4660 5045 5825 8072 9320 10090 11650 20180 23300 25225 40360 46600 50450 85733 100900 171466 201800 235097 342932 428665 470194 685864 857330 940388 1175485 1714660 1880776 2143325 2350970 3429320 4286650 4701940 5877425 8573300 9403880 11754850 17146600 19975789 23509700 39951578 47019400 79903156 86504597 99878945 159806312 173009194 199757890 346018388 399515780 432522985 499394725 692036776 799031560 865045970 998789450 1730091940 1997578900 2162614925 3460183880 3995157800 4325229850 8650459700 17300919400 20155571101 40311142202 80622284404 100777855505 161244568808 201555711010 403111422020 503889277525 806222844040 1007778555050 2015557110100 4031114220200