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11000110201206 = 23723471232319661
BaseRepresentation
bin1010000000010010100110…
…1010010011100101110110
31102221121012121000110221120
42200010221222103211312
52420211211202414311
635221214133324410
72213505661653540
oct240045152234566
942847177013846
1011000110201206
113561136488795
121297a8a796706
1361a3c91c9b79
142a05a0060690
151412111c6706
hexa0129a93976

11000110201206 has 128 divisors (see below), whose sum is σ = 26798043856896. Its totient is φ = 2941890314880.

The previous prime is 11000110201163. The next prime is 11000110201219. The reversal of 11000110201206 is 60210201100011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559479016 + ... + 559498676.

It is an arithmetic number, because the mean of its divisors is an integer number (209359717632).

Almost surely, 211000110201206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000110201206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399021928448).

11000110201206 is an abundant number, since it is smaller than the sum of its proper divisors (15797933655690).

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

11000110201206 is a wasteful number, since it uses less digits than its factorization.

11000110201206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32066.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11000110201206 its reverse (60210201100011), we get a palindrome (71210311301217).

The spelling of 11000110201206 in words is "eleven trillion, one hundred ten million, two hundred one thousand, two hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 94 138 141 161 282 322 329 483 658 966 987 1081 1974 2162 3243 6486 7567 12323 15134 19661 22701 24646 36969 39322 45402 58983 73938 86261 117966 137627 172522 258783 275254 283429 412881 452203 517566 566858 579181 825762 850287 904406 924067 1158362 1356609 1700574 1737543 1848134 1984003 2713218 2772201 3165421 3475086 3968006 4054267 5544402 5952009 6330842 6468469 8108534 9496263 11904018 12162801 12936938 13321163 18992526 19405407 21253541 24325602 26642326 38810814 39963489 42507082 63760623 79926978 93248141 127521246 148774787 186496282 242282503 279744423 297549574 446324361 484565006 559488846 726847509 892648722 1453695018 1695977521 3391955042 5087932563 5572497569 10175865126 11144995138 11387277641 16717492707 22774555282 33434985414 34161832923 39007482983 68323665846 78014965966 79710943487 117022448949 159421886974 234044897898 239132830461 261907385743 478265660922 523814771486 785722157229 1571444314458 1833351700201 3666703400402 5500055100603 11000110201206