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11000010222201 = 37111337731356167
BaseRepresentation
bin1010000000010010001110…
…1100111010101001111001
31102221120221121220000112110
42200010203230322221321
52420211010104102301
635221200202402533
72213503336106550
oct240044354725171
942846847800473
1011000010222201
113561095001010
121297a61200449
1361a3b1592ab0
142a0590a76d97
151412075280d6
hexa0123b3aa79

11000010222201 has 128 divisors (see below), whose sum is σ = 20501614780416. Its totient is φ = 5061862471680.

The previous prime is 11000010222181. The next prime is 11000010222217. The reversal of 11000010222201 is 10222201000011.

It is not a de Polignac number, because 11000010222201 - 214 = 11000010205817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000010223201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7433020 + ... + 8789186.

It is an arithmetic number, because the mean of its divisors is an integer number (160168865472).

Almost surely, 211000010222201 is an apocalyptic number.

11000010222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000010222201 is a deficient number, since it is larger than the sum of its proper divisors (9501604558215).

11000010222201 is a wasteful number, since it uses less digits than its factorization.

11000010222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356311.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000010222201 its reverse (10222201000011), we get a palindrome (21222211222212).

It can be divided in two parts, 11000010 and 222201, that added together give a palindrome (11222211).

The spelling of 11000010222201 in words is "eleven trillion, ten million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 73 77 91 111 143 219 231 259 273 407 429 481 511 777 803 949 1001 1221 1443 1533 2409 2701 2847 2849 3003 3367 5291 5621 6643 8103 8547 10101 10439 15873 16863 18907 19929 29711 31317 35113 37037 56721 73073 89133 105339 111111 207977 219219 245791 386243 623931 737373 1158729 1356167 2703701 4068501 8111103 9493169 14917837 17630171 28479507 44753511 50178179 52890513 99000191 104424859 123411197 150534537 193931881 297000573 313274577 351247253 370233591 551959969 581795643 652316327 693001337 1053741759 1089002101 1287002483 1357523167 1655879907 1956948981 2079004011 3267006303 3663007067 3861007449 3863719783 4072569501 4566214289 7175479597 7623014707 9009017381 10989021201 11591159349 13698642867 14157027313 21526438791 22869044121 25641049469 27027052143 40293077737 42471081939 47619091871 50228357179 76923148407 99099191191 120879233211 142857275613 150685071537 282051544159 297297573573 333333643097 523810010581 846154632477 1000000929291 1571430031743 3666670074067 11000010222201