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11130011323123 = 7211172183139023
BaseRepresentation
bin1010000111110110100001…
…0111110000101011110011
31110102000111121220012100011
42201331220113300223303
52424323230344314443
635401020121235351
72226055025200600
oct241755027605363
943360447805304
1011130011323123
1136012362622a0
1212b90a2332b57
1362972b761754
142a69a434b6a7
151447b5507b9d
hexa1f685f0af3

11130011323123 has 72 divisors (see below), whose sum is σ = 15012455376384. Its totient is φ = 8157908102400.

The previous prime is 11130011323111. The next prime is 11130011323139. The reversal of 11130011323123 is 32132311003111.

It is not a de Polignac number, because 11130011323123 - 225 = 11129977768691 is a prime.

It is a super-2 number, since 2×111300113231232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11130011323094 and 11130011323103.

It is not an unprimeable number, because it can be changed into a prime (11130011329123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285197190 + ... + 285236212.

It is an arithmetic number, because the mean of its divisors is an integer number (208506324672).

Almost surely, 211130011323123 is an apocalyptic number.

11130011323123 is a deficient number, since it is larger than the sum of its proper divisors (3882444053261).

11130011323123 is a wasteful number, since it uses less digits than its factorization.

11130011323123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40913 (or 40889 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11130011323123 its reverse (32132311003111), we get a palindrome (43262322326234).

The spelling of 11130011323123 in words is "eleven trillion, one hundred thirty billion, eleven million, three hundred twenty-three thousand, one hundred twenty-three".

Divisors: 1 7 11 17 49 77 119 187 289 539 833 1309 1831 2023 3179 9163 12817 14161 20141 22253 31127 39023 89719 140987 155771 217889 273161 342397 429253 529159 663391 986909 1525223 1912127 2396779 3004771 3704113 4643737 5820749 7297301 11277647 16777453 21033397 25928791 32506159 40745243 51081107 71451113 78943529 124054117 285216701 357567749 500157791 552604703 785962243 868378819 1214668921 3501104537 5501735701 6078651733 8502682447 13361358131 20649371657 38512149907 59518777129 93529506917 144545601599 227143088227 654706548419 1011819211193 1590001617589 11130011323123