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11120101011019 = 71113235343920759
BaseRepresentation
bin1010000111010001100110…
…1010111010111001001011
31110101001220221220011212201
42201310121222322321023
52424142431324323034
635352300501021031
72225254320011440
oct241643152727113
943331827804781
1011120101011019
1135a8010136110
1212b71973b4777
1362880c517150
142a63040939c7
151443d5464014
hexa1d19abae4b

11120101011019 has 128 divisors (see below), whose sum is σ = 15910517145600. Its totient is φ = 7488901854720.

The previous prime is 11120101011017. The next prime is 11120101011023. The reversal of 11120101011019 is 91011010102111.

It is not a de Polignac number, because 11120101011019 - 21 = 11120101011017 is a prime.

It is a super-3 number, since 3×111201010110193 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11120101010987 and 11120101011005.

It is not an unprimeable number, because it can be changed into a prime (11120101011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 535665762 + ... + 535686520.

It is an arithmetic number, because the mean of its divisors is an integer number (124300915200).

Almost surely, 211120101011019 is an apocalyptic number.

11120101011019 is a deficient number, since it is larger than the sum of its proper divisors (4790416134581).

11120101011019 is a wasteful number, since it uses less digits than its factorization.

11120101011019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21305.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 11120101011019 in words is "eleven trillion, one hundred twenty billion, one hundred one million, eleven thousand, nineteen".

Divisors: 1 7 11 13 23 53 77 91 143 161 253 299 371 439 583 689 1001 1219 1771 2093 3073 3289 4081 4823 4829 5707 7579 8533 10097 13409 15847 20759 23023 23267 33803 39949 53053 62777 70679 93863 110929 111067 131261 145313 162869 174317 228349 255937 269867 302471 439439 477457 535141 777469 918827 1100227 1220219 1443871 1598443 1791559 1889069 2117297 2968537 3327181 3342199 3745987 5252027 5886551 6206941 6956833 7701589 9113201 10107097 12102497 14302951 20779759 23290267 25305221 36764189 41205857 43448587 48697831 63792407 68276351 76525163 84717479 100120657 100245211 118471613 157332461 177136547 209603623 278357431 328967873 477934457 482999653 535676141 701716477 829301291 1101327227 1303187743 1467225361 1948502017 2302775111 2305639853 2724847099 3380997571 3618646603 5312996183 6278995489 9122314201 11108992019 16139478971 19073929693 25330526221 29973318089 37190973281 43952968423 69068950379 77762944133 122198912209 144416896247 209813226623 483482652653 855392385463 1010918273729 1588585858717 11120101011019