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2110001199966 = 23211261109145703
BaseRepresentation
bin11110101101000101110…
…111110011101101011110
321110201021121111210101100
4132231011313303231132
5234032240301344331
64253153212253530
7305304540163662
oct36550567635536
97421247453340
102110001199966
11743934740500
122a0b231712a6
13123c840914ca
14741a5ca68a2
1539d45260ae6
hex1eb45df3b5e

2110001199966 has 144 divisors (see below), whose sum is σ = 5154328539360. Its totient is φ = 623138313600.

The previous prime is 2110001199949. The next prime is 2110001199989. The reversal of 2110001199966 is 6699911000112.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14408671 + ... + 14554373.

It is an arithmetic number, because the mean of its divisors is an integer number (35793948190).

Almost surely, 22110001199966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110001199966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577164269680).

2110001199966 is an abundant number, since it is smaller than the sum of its proper divisors (3044327339394).

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

2110001199966 is a wasteful number, since it uses less digits than its factorization.

2110001199966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145903 (or 145889 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 2110001199966 in words is "two trillion, one hundred ten billion, one million, one hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 109 121 122 183 198 218 242 327 363 366 549 654 671 726 981 1089 1098 1199 1342 1962 2013 2178 2398 3597 4026 6039 6649 7194 7381 10791 12078 13189 13298 14762 19947 21582 22143 26378 39567 39894 44286 59841 66429 73139 79134 118701 119682 132858 145703 146278 219417 237402 291406 437109 438834 658251 804529 874218 1311327 1316502 1602733 1609058 2413587 2622654 3205466 4808199 4827174 7240761 8887883 9616398 14424597 14481522 15881627 17630063 17775766 26663649 28849194 31763254 35260126 47644881 52890189 53327298 79990947 95289762 97766713 105780378 142934643 158670567 159981894 174697897 195533426 285869286 293300139 317341134 349395794 524093691 586600278 879900417 968779247 1048187382 1075433843 1572281073 1759800834 1921676867 1937558494 2150867686 2906337741 3144562146 3226301529 3843353734 5765030601 5812675482 6452603058 8719013223 9678904587 10656571717 11530061202 17295091803 17438026446 19357809174 21313143434 31969715151 34590183606 63939430302 95909145453 117222288887 191818290906 234444577774 351666866661 703333733322 1055000599983 2110001199966