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111530502006 = 237211224113009
BaseRepresentation
bin110011111011110111…
…1000110011101110110
3101122212202022112102120
41213313233012131312
53311403302031011
6123123021420410
711025554424300
oct1476757063566
9348782275376
10111530502006
1143333073a00
121974740a706
13a69560b7b1
145580586970
152d7b669a06
hex19f7bc6776

111530502006 has 144 divisors (see below), whose sum is σ = 286418064240. Its totient is φ = 28846540800.

The previous prime is 111530502001. The next prime is 111530502019. The reversal of 111530502006 is 600205035111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111530502001) 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, 8566830 + ... + 8579838.

It is an arithmetic number, because the mean of its divisors is an integer number (1989014335).

Almost surely, 2111530502006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111530502006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143209032120).

111530502006 is an abundant number, since it is smaller than the sum of its proper divisors (174887562234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111530502006 is a wasteful number, since it uses less digits than its factorization.

111530502006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13273 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 111530502006 its reverse (600205035111), we get a palindrome (711735537117).

The spelling of 111530502006 in words is "one hundred eleven billion, five hundred thirty million, five hundred two thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 241 242 294 363 462 482 539 723 726 847 1078 1446 1617 1687 1694 2541 2651 3234 3374 5061 5082 5302 5929 7953 10122 11809 11858 13009 15906 17787 18557 23618 26018 29161 35427 35574 37114 39027 55671 58322 70854 78054 87483 91063 111342 129899 143099 174966 182126 204127 259798 273189 286198 389697 408254 429297 546378 612381 637441 779394 858594 1001693 1224762 1274882 1428889 1574089 1912323 2003386 2857778 3005079 3135169 3148178 3824646 4286667 4722267 6010158 6270338 7011851 8573334 9405507 9444534 11018623 14023702 18811014 21035553 21946183 22037246 33055869 34486859 42071106 43892366 65838549 66111738 68973718 77130361 103460577 131677098 153623281 154260722 206921154 231391083 241408013 307246562 379355449 460869843 462782166 482816026 724224039 758710898 921739686 1138066347 1448448078 1689856091 2276132694 2655488143 3379712182 5069568273 5310976286 7966464429 10139136546 15932928858 18588417001 37176834002 55765251003 111530502006