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111023132031 = 3572310128097
BaseRepresentation
bin110011101100101111…
…1101000110101111111
3101121120101121110200000
41213121133220311333
53304333410211111
6123000415005343
711010154023450
oct1473137506577
9347511543600
10111023132031
11430a2733379
1219625509853
13a614475c86
145533033127
152d4bd47c56
hex19d97e8d7f

111023132031 has 96 divisors (see below), whose sum is σ = 200298728448. Its totient is φ = 60080486400.

The previous prime is 111023131963. The next prime is 111023132039. The reversal of 111023132031 is 130231320111.

111023132031 is a `hidden beast` number, since 1 + 110 + 231 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 111023132031 - 211 = 111023129983 is a prime.

It is a super-2 number, since 2×1110231320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111023131995 and 111023132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111023132039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3937375 + ... + 3965471.

It is an arithmetic number, because the mean of its divisors is an integer number (2086445088).

Almost surely, 2111023132031 is an apocalyptic number.

111023132031 is a deficient number, since it is larger than the sum of its proper divisors (89275596417).

111023132031 is a wasteful number, since it uses less digits than its factorization.

111023132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28243 (or 28231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111023132031 its reverse (130231320111), we get a palindrome (241254452142).

The spelling of 111023132031 in words is "one hundred eleven billion, twenty-three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 101 161 189 207 243 303 483 567 621 707 909 1449 1701 1863 2121 2323 2727 4347 5589 6363 6969 8181 13041 16261 19089 20907 24543 28097 39123 48783 57267 62721 84291 146349 171801 188163 196679 252873 439047 564489 590037 646231 758619 1317141 1770111 1938693 2275857 2837797 3951423 4523617 5310333 5816079 6827571 8513391 13570851 15930999 17448237 19864579 25540173 40712553 47792997 52344711 59593737 65269331 76620519 122137659 157034133 178781211 195807993 229861557 366412977 456885317 536343633 587423979 689584671 1099238931 1370655951 1609030899 1762271937 4111967853 4827092697 5286815811 12335903559 15860447433 37007710677 111023132031