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112331424040300 = 2252172910721294653
BaseRepresentation
bin11001100010101000110010…
…101000001000010101101100
3112201201210001002012022020201
4121202220302220020111230
5104210414224023242200
61034524202132123244
732442451256056153
oct3142506250102554
9481653032168221
10112331424040300
113287954243a913
12107226ba766524
134a8aa66a743ca
141da4c2714a59a
15cebee8a1ac6a
hex662a32a0856c

112331424040300 has 144 divisors (see below), whose sum is σ = 269493216017760. Its totient is φ = 40449617367040.

The previous prime is 112331424040259. The next prime is 112331424040301. The reversal of 112331424040300 is 3040424133211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112331424040301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5372227 + ... + 15922426.

It is an arithmetic number, because the mean of its divisors is an integer number (1871480666790).

Almost surely, 2112331424040300 is an apocalyptic number.

112331424040300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112331424040300 is an abundant number, since it is smaller than the sum of its proper divisors (157161791977460).

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

112331424040300 is a wasteful number, since it uses less digits than its factorization.

112331424040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21294820 (or 21294813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 112331424040300 its reverse (3040424133211), we get a palindrome (115371848173511).

The spelling of 112331424040300 in words is "one hundred twelve trillion, three hundred thirty-one billion, four hundred twenty-four million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 107 116 145 170 214 290 340 425 428 493 535 580 725 850 986 1070 1450 1700 1819 1972 2140 2465 2675 2900 3103 3638 4930 5350 6206 7276 9095 9860 10700 12325 12412 15515 18190 24650 31030 36380 45475 49300 52751 62060 77575 90950 105502 155150 181900 211004 263755 310300 527510 1055020 1318775 2637550 5275100 21294653 42589306 85178612 106473265 212946530 362009101 425893060 532366325 617544937 724018202 1064732650 1235089874 1448036404 1810045505 2129465300 2278527871 2470179748 3087724685 3620091010 4557055742 6175449370 7240182020 9050227525 9114111484 10498263929 11392639355 12350898740 15438623425 18100455050 20996527858 22785278710 30877246850 36200910100 38734973807 41993055716 45570557420 52491319645 56963196775 61754493700 66077308259 77469947614 104982639290 113926393550 132154616518 154939895228 193674869035 209965278580 227852787100 262456598225 264309233036 330386541295 387349738070 524913196450 660773082590 774699476140 968374345175 1049826392900 1123314240403 1321546165180 1651932706475 1936748690350 2246628480806 3303865412950 3873497380700 4493256961612 5616571202015 6607730825900 11233142404030 22466284808060 28082856010075 56165712020150 112331424040300