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110030100312 = 233112110334351
BaseRepresentation
bin110011001111001001…
…1100001011101011000
3101112000012001020020110
41212132103201131120
53300320201202222
6122314102524320
710643435264316
oct1463623413530
9345005036213
10110030100312
1142733139a00
12193a8a366a0
13a4b6808742
14547b1bb0b6
152cdea9130c
hex199e4e1758

110030100312 has 96 divisors (see below), whose sum is σ = 302638371840. Its totient is φ = 33311256000.

The previous prime is 110030100289. The next prime is 110030100343. The reversal of 110030100312 is 213001030011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3185937 + ... + 3220287.

It is an arithmetic number, because the mean of its divisors is an integer number (3152483040).

Almost surely, 2110030100312 is an apocalyptic number.

110030100312 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 110030100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151319185920).

110030100312 is an abundant number, since it is smaller than the sum of its proper divisors (192608271528).

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

110030100312 is a wasteful number, since it uses less digits than its factorization.

110030100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35485 (or 35470 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110030100312 its reverse (213001030011), we get a palindrome (323031130323).

The spelling of 110030100312 in words is "one hundred ten billion, thirty million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1103 1452 2206 2904 3309 4412 6618 8824 12133 13236 24266 26472 34351 36399 48532 68702 72798 97064 103053 133463 137404 145596 206106 266926 274808 291192 377861 400389 412212 533852 755722 800778 824424 1067704 1133583 1511444 1601556 2267166 3022888 3203112 4156471 4534332 8312942 9068664 12469413 16625884 24938826 33251768 37889153 49877652 75778306 99755304 113667459 151556612 227334918 303113224 416780683 454669836 833561366 909339672 1250342049 1667122732 2500684098 3334245464 4584587513 5001368196 9169175026 10002736392 13753762539 18338350052 27507525078 36676700104 55015050156 110030100312