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200421422010 = 23352389362629
BaseRepresentation
bin1011101010101000001…
…1000011001110111010
3201011022201021010211000
42322222003003032322
511240430341001020
6232023342345430
720323425656415
oct2725203031672
9634281233730
10200421422010
1177aa8738857
1232a1488b276
1315b90721204
1499b4060b7c
15533046a090
hex2eaa0c33ba

200421422010 has 128 divisors (see below), whose sum is σ = 563962176000. Its totient is φ = 50547442176.

The previous prime is 200421422009. The next prime is 200421422011. The reversal of 200421422010 is 10224124002.

200421422010 is a `hidden beast` number, since 2 + 0 + 0 + 421 + 42 + 201 + 0 = 666.

200421422010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200421422009) and next prime (200421422011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200421422011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371376 + ... + 734004.

It is an arithmetic number, because the mean of its divisors is an integer number (4405954500).

Almost surely, 2200421422010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200421422010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281981088000).

200421422010 is an abundant number, since it is smaller than the sum of its proper divisors (363540753990).

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

200421422010 is a wasteful number, since it uses less digits than its factorization.

200421422010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362757 (or 362751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200421422010 its reverse (10224124002), we get a palindrome (210645546012).

The spelling of 200421422010 in words is "two hundred billion, four hundred twenty-one million, four hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 89 90 115 135 138 178 207 230 267 270 345 414 445 534 621 690 801 890 1035 1242 1335 1602 2047 2070 2403 2670 3105 4005 4094 4806 6141 6210 8010 10235 12015 12282 18423 20470 24030 30705 36846 55269 61410 92115 110538 184230 276345 362629 552690 725258 1087887 1813145 2175774 3263661 3626290 5439435 6527322 8340467 9790983 10878870 16318305 16680934 19581966 25021401 32273981 32636610 41702335 48954915 50042802 64547962 75064203 83404670 96821943 97909830 125107005 150128406 161369905 193643886 225192609 250214010 290465829 322739810 375321015 450385218 484109715 580931658 742301563 750642030 871397487 968219430 1125963045 1452329145 1484603126 1742794974 2226904689 2251926090 2904658290 3711507815 4356987435 4453809378 6680714067 7423015630 8713974870 11134523445 13361428134 20042142201 22269046890 33403570335 40084284402 66807140670 100210711005 200421422010