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110212030032 = 24313587300889
BaseRepresentation
bin110011010100100100…
…1100001111001010000
3101112110212101012220020
41212221021201321100
53301203234430112
6122344122143440
710651104540546
oct1465111417120
9345425335806
10110212030032
11428168aa445
1219439951b80
13a515406a70
145497417d96
152d00a2b48c
hex19a9261e50

110212030032 has 80 divisors (see below), whose sum is σ = 307138883520. Its totient is φ = 33853510656.

The previous prime is 110212029953. The next prime is 110212030043. The reversal of 110212030032 is 230030212011.

It is a super-3 number, since 3×1102120300323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110212029993 and 110212030020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215844 + ... + 516732.

It is an arithmetic number, because the mean of its divisors is an integer number (3839236044).

Almost surely, 2110212030032 is an apocalyptic number.

110212030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153569441760).

110212030032 is an abundant number, since it is smaller than the sum of its proper divisors (196926853488).

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

110212030032 is a wasteful number, since it uses less digits than its factorization.

110212030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301500 (or 301494 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 110212030032 its reverse (230030212011), we get a palindrome (340242242043).

The spelling of 110212030032 in words is "one hundred ten billion, two hundred twelve million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 587 624 1174 1761 2348 3522 4696 7044 7631 9392 14088 15262 22893 28176 30524 45786 61048 91572 122096 183144 300889 366288 601778 902667 1203556 1805334 2407112 3610668 3911557 4814224 7221336 7823114 11734671 14442672 15646228 23469342 31292456 46938684 62584912 93877368 176621843 187754736 353243686 529865529 706487372 1059731058 1412974744 2119462116 2296083959 2825949488 4238924232 4592167918 6888251877 8477848464 9184335836 13776503754 18368671672 27553007508 36737343344 55106015016 110212030032