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9010220109 = 311219531572
BaseRepresentation
bin10000110010000110…
…10000110001001101
3212020221022121100220
420121003100301031
5121423104020414
64050024141553
7436165415202
oct103103206115
925227277326
109010220109
113904041800
1218b56078b9
13b0791b0b7
14616915ca9
1537b049ca9
hex2190d0c4d

9010220109 has 72 divisors (see below), whose sum is σ = 14253109920. Its totient is φ = 5043392640.

The previous prime is 9010220083. The next prime is 9010220111.

9010220109 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9010220109 - 212 = 9010216013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9010220189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57389859 + ... + 57390015.

It is an arithmetic number, because the mean of its divisors is an integer number (197959860).

Almost surely, 29010220109 is an apocalyptic number.

It is an amenable number.

9010220109 is a deficient number, since it is larger than the sum of its proper divisors (5242889811).

9010220109 is a wasteful number, since it uses less digits than its factorization.

9010220109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 9010220109 is about 94922.1792259322. The cubic root of 9010220109 is about 2080.8708838512.

The spelling of 9010220109 in words is "nine billion, ten million, two hundred twenty thousand, one hundred nine".

Divisors: 1 3 11 19 33 53 57 121 157 159 209 363 471 583 627 1007 1727 1749 2299 2983 3021 5181 6413 6897 8321 8949 11077 18997 19239 24649 24963 32813 33231 56991 73947 91531 98439 121847 158099 271139 274593 360943 365541 468331 474297 813417 1006841 1082829 1306397 1404993 1739089 2982529 3020523 3919191 5151641 5217267 8947587 14370367 15454923 19129979 24821543 43111101 56668051 57389937 74464629 158074037 170004153 273036973 474222111 819110919 3003406703 9010220109