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111014561031 = 31121378532617
BaseRepresentation
bin110011101100011111…
…0111100010100000111
3101121112210111000110120
41213120332330110013
53304324211423111
6122555511153023
711010021125223
oct1473076742407
9347483430416
10111014561031
1143098909900
1219622675773
13a61276498a
145531c41783
152d4b203406
hex19d8fbc507

111014561031 has 48 divisors (see below), whose sum is σ = 164141437152. Its totient is φ = 66686653440.

The previous prime is 111014561029. The next prime is 111014561041. The reversal of 111014561031 is 130165410111.

It is not a de Polignac number, because 111014561031 - 21 = 111014561029 is a prime.

It is a super-2 number, since 2×1110145610312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111014560992 and 111014561010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111014561041) 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, 42419235 + ... + 42421851.

It is an arithmetic number, because the mean of its divisors is an integer number (3419613274).

Almost surely, 2111014561031 is an apocalyptic number.

111014561031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111014561031 is a deficient number, since it is larger than the sum of its proper divisors (53126876121).

111014561031 is a wasteful number, since it uses less digits than its factorization.

111014561031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 111014561031 its reverse (130165410111), we get a palindrome (241179971142).

The spelling of 111014561031 in words is "one hundred eleven billion, fourteen million, five hundred sixty-one thousand, thirty-one".

Divisors: 1 3 11 33 121 137 363 411 853 1507 2559 2617 4521 7851 9383 16577 28149 28787 49731 86361 103213 116861 309639 316657 350583 358529 949971 1075587 1285471 2232301 3856413 3943819 6696903 11831457 14140181 24555311 42420543 43382009 73665933 130146027 270108421 305825237 810325263 917475711 3364077607 10092232821 37004853677 111014561031