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110113112030300 = 2252103149241129759
BaseRepresentation
bin11001000010010110110100…
…111011010111110001011100
3112102212201012002210021111122
4121002112310323113301130
5103413043123134432200
61030105133151110112
732123260365101621
oct3102266473276134
9472781162707448
10110113112030300
11320a3788109775
12104247aa512338
1349598114490c2
141d29708570348
15cae464b2d385
hex6425b4ed7c5c

110113112030300 has 144 divisors (see below), whose sum is σ = 242993447424000. Its totient is φ = 43305460435200.

The previous prime is 110113112030291. The next prime is 110113112030323. The reversal of 110113112030300 is 3030211311011.

It is a super-3 number, since 3×1101131120303003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700146821 + ... + 3700176579.

It is an arithmetic number, because the mean of its divisors is an integer number (1687454496000).

Almost surely, 2110113112030300 is an apocalyptic number.

110113112030300 is a gapful number since it is divisible by the number (10) 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 110113112030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121496723712000).

110113112030300 is an abundant number, since it is smaller than the sum of its proper divisors (132880335393700).

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

110113112030300 is a wasteful number, since it uses less digits than its factorization.

110113112030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32436 (or 32429 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110113112030300 its reverse (3030211311011), we get a palindrome (113143323341311).

The spelling of 110113112030300 in words is "one hundred ten trillion, one hundred thirteen billion, one hundred twelve million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 149 206 298 412 515 596 745 1030 1490 2060 2411 2575 2980 3725 4822 5150 7450 9644 10300 12055 14900 15347 24110 29759 30694 48220 59518 60275 61388 76735 119036 120550 148795 153470 241100 248333 297590 306940 359239 383675 496666 595180 718478 743975 767350 993332 1241665 1436956 1487950 1534700 1796195 2483330 2975900 3065177 3592390 4434091 4966660 6130354 6208325 7184780 8868182 8980975 12260708 12416650 15325885 17736364 17961950 22170455 24833300 30651770 35923900 37001617 44340910 61303540 71748949 74003234 76629425 88681820 110852275 143497898 148006468 153258850 185008085 221704550 286995796 306517700 358744745 370016170 443409100 456711373 717489490 740032340 913422746 925040425 1434978980 1793723725 1826845492 1850080850 2283556865 3587447450 3700161700 4567113730 7174894900 7390141747 9134227460 10690593401 11417784325 14780283494 21381186802 22835568650 29560566988 36950708735 42762373604 45671137300 53452967005 73901417470 106905934010 147802834940 184753543675 213811868020 267264835025 369507087350 534529670050 739014174700 1069059340100 1101131120303 2202262240606 4404524481212 5505655601515 11011311203030 22022622406060 27528278007575 55056556015150 110113112030300