Search a number
-
+
12011010101201 = 1719234369154413
BaseRepresentation
bin1010111011001000011111…
…1111011000111111010001
31120112020111221112012021102
42232302013333120333101
53033242022041214301
641313440514434145
72346524012225636
oct256620777307721
946466457465242
1012011010101201
1139109280918a1
12141b992b92955
13691830742b77
142d749bd5c18d
1515c679807b6b
hexaec87fd8fd1

12011010101201 has 64 divisors (see below), whose sum is σ = 14314730158080. Its totient is φ = 9990983439360.

The previous prime is 12011010101177. The next prime is 12011010101257. The reversal of 12011010101201 is 10210101011021.

It is not a de Polignac number, because 12011010101201 - 226 = 12010942992337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011010101291) 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, 220710671 + ... + 220765083.

It is an arithmetic number, because the mean of its divisors is an integer number (223667658720).

Almost surely, 212011010101201 is an apocalyptic number.

It is an amenable number.

12011010101201 is a deficient number, since it is larger than the sum of its proper divisors (2303720056879).

12011010101201 is a wasteful number, since it uses less digits than its factorization.

12011010101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55206.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12011010101201 its reverse (10210101011021), we get a palindrome (22221111112222).

The spelling of 12011010101201 in words is "twelve trillion, eleven billion, ten million, one hundred one thousand, two hundred one".

Divisors: 1 17 19 23 43 323 391 437 691 731 817 989 7429 11747 13129 13889 15893 16813 18791 29713 54413 223193 270181 301967 319447 505121 564547 683399 925021 1033847 1251499 2339759 5133439 9597299 11617783 12984581 17575399 21275483 23778481 37599383 39775903 44455421 53814457 220737877 404234177 639189511 714388277 755742157 864785809 914845769 1022474683 1616773469 12144600709 14701358753 16430930371 17382069611 27485148973 30718695911 37185789787 279325816307 522217830487 632158426379 706530005953 12011010101201