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201422100330 = 233511127534007
BaseRepresentation
bin1011101110010110110…
…0010101011101101010
3201020220110012212102000
42323211230111131222
511300003024202310
6232310530351430
720360266414053
oct2734554253552
9636813185360
10201422100330
1178471585230
1233053a2b576
1315cbcb38069
149a6ad0772a
15538d2324c0
hex2ee5b1576a

201422100330 has 128 divisors (see below), whose sum is σ = 590570127360. Its totient is φ = 48445024320.

The previous prime is 201422100323. The next prime is 201422100337. The reversal of 201422100330 is 33001224102.

201422100330 is a `hidden beast` number, since 201 + 422 + 10 + 0 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (201422100323) and next prime (201422100337).

It is a super-2 number, since 2×2014221003302 (a number of 23 digits) contains 22 as substring.

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 (201422100337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110187 + ... + 644193.

It is an arithmetic number, because the mean of its divisors is an integer number (4613829120).

Almost surely, 2201422100330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201422100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295285063680).

201422100330 is an abundant number, since it is smaller than the sum of its proper divisors (389148027030).

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

201422100330 is a wasteful number, since it uses less digits than its factorization.

201422100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534161 (or 534155 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201422100330 its reverse (33001224102), we get a palindrome (234423324432).

The spelling of 201422100330 in words is "two hundred one billion, four hundred twenty-two million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 127 135 165 198 254 270 297 330 381 495 594 635 762 990 1143 1270 1397 1485 1905 2286 2794 2970 3429 3810 4191 5715 6858 6985 8382 11430 12573 13970 17145 20955 25146 34290 37719 41910 62865 75438 125730 188595 377190 534007 1068014 1602021 2670035 3204042 4806063 5340070 5874077 8010105 9612126 11748154 14418189 16020210 17622231 24030315 28836378 29370385 35244462 48060630 52866693 58740770 67818889 72090945 88111155 105733386 135637778 144181890 158600079 176222310 203456667 264333465 317200158 339094445 406913334 528666930 610370001 678188890 746007779 793000395 1017283335 1220740002 1492015558 1586000790 1831110003 2034566670 2238023337 3051850005 3662220006 3730038895 4476046674 6103700010 6714070011 7460077790 9155550015 11190116685 13428140022 18311100030 20142210033 22380233370 33570350055 40284420066 67140700110 100711050165 201422100330