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210141242141012 = 227213590231397303
BaseRepresentation
bin101111110001111101010010…
…000101110010100101010100
31000120001022021110212111021122
4233301331102011302211110
5210020423230442003022
62022533315351503112
762156126610242600
oct5761752205624524
91016038243774248
10210141242141012
1160a594448aa426
121b69a944987a98
139034307436a70
1439c6c67320500
1519463c8cb5742
hexbf1f52172954

210141242141012 has 72 divisors (see below), whose sum is σ = 460702396659456. Its totient is φ = 83131331113152.

The previous prime is 210141242141009. The next prime is 210141242141059.

It is a happy number.

210141242141012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149691953 + ... + 151089255.

It is an arithmetic number, because the mean of its divisors is an integer number (6398644398048).

Almost surely, 2210141242141012 is an apocalyptic number.

It is an amenable number.

210141242141012 is an abundant number, since it is smaller than the sum of its proper divisors (250561154518444).

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

210141242141012 is a wasteful number, since it uses less digits than its factorization.

210141242141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456357 (or 1456348 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 210141242141012 in words is "two hundred ten trillion, one hundred forty-one billion, two hundred forty-two million, one hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 59023 118046 236092 413161 767299 826322 1397303 1534598 1652644 2794606 2892127 3069196 5371093 5589212 5784254 9781121 10742186 11568508 18164939 19562242 21484372 36329878 37597651 39124484 68467847 72659756 75195302 127154573 136935694 150390604 254309146 273871388 508618292 890082011 1780164022 3560328044 82473014969 164946029938 329892059876 577311104783 1072149194597 1154622209566 2144298389194 2309244419132 4041177733481 4288596778388 7505044362179 8082355466962 15010088724358 16164710933924 30020177448716 52535310535253 105070621070506 210141242141012