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11101113113031 = 3231181135176247
BaseRepresentation
bin1010000110001010110111…
…1001110101100111000111
31110022020220122211000120200
42201202231321311213013
52423340034424104111
635335440404301543
72224012634361324
oct241425571654707
943266818730520
1011101113113031
11359aa56a46337
1212b35783a18b3
13626aa4725c56
142a5422389b4b
15143b734ba256
hexa18ade759c7

11101113113031 has 48 divisors (see below), whose sum is σ = 16568697919488. Its totient is φ = 7154872948800.

The previous prime is 11101113113029. The next prime is 11101113113039. The reversal of 11101113113031 is 13031131110111.

It is not a de Polignac number, because 11101113113031 - 21 = 11101113113029 is a prime.

It is a super-2 number, since 2×111011131130312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101113112995 and 11101113113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101113113039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777027950 + ... + 1777034196.

It is an arithmetic number, because the mean of its divisors is an integer number (345181206656).

Almost surely, 211101113113031 is an apocalyptic number.

11101113113031 is a deficient number, since it is larger than the sum of its proper divisors (5467584806457).

11101113113031 is a wasteful number, since it uses less digits than its factorization.

11101113113031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11612 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 11101113113031 its reverse (13031131110111), we get a palindrome (24132244223142).

The spelling of 11101113113031 in words is "eleven trillion, one hundred one billion, one hundred thirteen million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 31 93 279 1811 3517 5433 6247 10551 16299 18741 31653 56141 56223 109027 168423 193657 327081 505269 580971 981243 1742913 6369287 11313317 19107861 21970699 33939951 57323583 65912097 101819853 197447897 197736291 350712827 592343691 681091669 1052138481 1777031073 2043275007 3156415443 6129825021 39788935889 119366807667 358100423001 1233457012559 3700371037677 11101113113031