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11133202211110 = 257275149336133
BaseRepresentation
bin1010001000000010011010…
…0100000010000100100110
31110102022202000010002202201
42202000212210002010212
52424401244231223420
635402304505125114
72226230062250200
oct242004644020446
943368660102681
1011133202211110
113602623451701
1212b9832a8979a
13629b1985c955
142a6bc8043770
1514490070610a
hexa2026902126

11133202211110 has 96 divisors (see below), whose sum is σ = 23351141642112. Its totient is φ = 3810621024000.

The previous prime is 11133202211029. The next prime is 11133202211113. The reversal of 11133202211110 is 1111220233111.

It is a super-4 number, since 4×111332022111104 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133202211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815291604 + ... + 1815297736.

It is an arithmetic number, because the mean of its divisors is an integer number (243241058772).

Almost surely, 211133202211110 is an apocalyptic number.

11133202211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11133202211110 is an abundant number, since it is smaller than the sum of its proper divisors (12217939431002).

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

11133202211110 is a wasteful number, since it uses less digits than its factorization.

11133202211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11133202211110 its reverse (1111220233111), we get a palindrome (12244422444221).

The spelling of 11133202211110 in words is "eleven trillion, one hundred thirty-three billion, two hundred two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 751 1502 3755 4933 5257 6133 7510 9866 10514 12266 24665 26285 30665 34531 36799 42931 49330 52570 61330 69062 73598 85862 172655 183995 214655 241717 300517 345310 367990 429310 483434 601034 1208585 1502585 2417170 3005170 3704683 4605883 7409366 9211766 18523415 23029415 25932781 30254089 32241181 37046830 46058830 51865562 60508178 64482362 129663905 151270445 161205905 181529467 211778623 225688267 259327810 302540890 322411810 363058934 423557246 451376534 907647335 1058893115 1128441335 1482450361 1815294670 2117786230 2256882670 2964900722 7412251805 14824503610 22720820839 45441641678 113604104195 159045745873 227208208390 318091491746 795228729365 1113320221111 1590457458730 2226640442222 5566601105555 11133202211110