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4102201422 = 2341117197127
BaseRepresentation
bin1111010010000010…
…1010000001001110
3101120220000102110000
43310200222001032
531400130421142
61515020225130
7203441064624
oct36440520116
911526012400
104102201422
111815649710
1296599b1a6
13504b56227
142acb59514
1519021214c
hexf482a04e

4102201422 has 160 divisors (see below), whose sum is σ = 11177844480. Its totient is φ = 1108235520.

The previous prime is 4102201421. The next prime is 4102201451. The reversal of 4102201422 is 2241022014.

4102201422 is a `hidden beast` number, since 41 + 0 + 2 + 201 + 422 = 666.

It is a super-3 number, since 3×41022014223 (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4102201395 and 4102201404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102201421) 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 79 ways as a sum of consecutive naturals, for example, 572023 + ... + 579149.

It is an arithmetic number, because the mean of its divisors is an integer number (69861528).

Almost surely, 24102201422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102201422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588922240).

4102201422 is an abundant number, since it is smaller than the sum of its proper divisors (7075643058).

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

4102201422 is a wasteful number, since it uses less digits than its factorization.

4102201422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7179 counting only the distinct ones).

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

The square root of 4102201422 is about 64048.4302852146. The cubic root of 4102201422 is about 1600.8070696536.

Adding to 4102201422 its reverse (2241022014), we get a palindrome (6343223436).

The spelling of 4102201422 in words is "four billion, one hundred two million, two hundred one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 19 22 27 33 34 38 51 54 57 66 81 99 102 114 153 162 171 187 198 209 297 306 323 342 374 418 459 513 561 594 627 646 891 918 969 1026 1122 1254 1377 1539 1683 1782 1881 1938 2754 2907 3078 3366 3553 3762 5049 5643 5814 7106 7127 8721 10098 10659 11286 14254 15147 16929 17442 21318 21381 26163 30294 31977 33858 42762 52326 63954 64143 78397 95931 121159 128286 135413 156794 191862 192429 235191 242318 270826 287793 363477 384858 406239 470382 575586 577287 705573 726954 812478 1090431 1154574 1218717 1332749 1411146 1489543 2116719 2180862 2302021 2437434 2665498 2979086 3271293 3656151 3998247 4233438 4468629 4604042 6350157 6542586 6906063 7312302 7996494 8937258 9813879 10968453 11994741 12700314 13405887 13812126 19627758 20718189 21936906 23989482 25322231 26811774 35984223 40217661 41436378 50644462 62154567 71968446 75966693 80435322 107952669 120652983 124309134 151933386 186463701 215905338 227900079 241305966 372927402 455800158 683700237 1367400474 2051100711 4102201422