Search a number
-
+
103223112131300 = 22527295219759851
BaseRepresentation
bin10111011110000110000000…
…111011100110001011100100
3111112111000220011102102001012
4113132012000323212023210
5102012201413201200200
61003312013145321352
730512423642212340
oct2736060073461344
9445430804372035
10103223112131300
112a987748860407
12b6b13b7496258
134579b89354645
141b6c04d546620
15be010b546a35
hex5de180ee62e4

103223112131300 has 144 divisors (see below), whose sum is σ = 265328994107520. Its totient is φ = 34104819840000.

The previous prime is 103223112131281. The next prime is 103223112131303. The reversal of 103223112131300 is 3131211322301.

It is not an unprimeable number, because it can be changed into a prime (103223112131303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5696375 + ... + 15456225.

It is an arithmetic number, because the mean of its divisors is an integer number (1842562459080).

Almost surely, 2103223112131300 is an apocalyptic number.

103223112131300 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 103223112131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132664497053760).

103223112131300 is an abundant number, since it is smaller than the sum of its proper divisors (162105881976220).

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

103223112131300 is a wasteful number, since it uses less digits than its factorization.

103223112131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760422 (or 9760415 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 103223112131300 its reverse (3131211322301), we get a palindrome (106354323453601).

The spelling of 103223112131300 in words is "one hundred three trillion, two hundred twenty-three billion, one hundred twelve million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 521 580 700 725 812 1015 1042 1450 2030 2084 2605 2900 3647 4060 5075 5210 7294 10150 10420 13025 14588 15109 18235 20300 26050 30218 36470 52100 60436 72940 75545 91175 105763 151090 182350 211526 302180 364700 377725 423052 528815 755450 1057630 1510900 2115260 2644075 5288150 9759851 10576300 19519702 39039404 48799255 68318957 97598510 136637914 195197020 243996275 273275828 283035679 341594785 487992550 566071358 683189570 975985100 1132142716 1366379140 1415178395 1707973925 1981249753 2830356790 3415947850 3962499506 5084882371 5660713580 6831895700 7075891975 7924999012 9906248765 10169764742 14151783950 19812497530 20339529484 25424411855 28303567900 35594176597 39624995060 49531243825 50848823710 71188353194 99062487650 101697647420 127122059275 142376706388 147461588759 177970882985 198124975300 254244118550 294923177518 355941765970 508488237100 589846355036 711883531940 737307943795 889854414925 1032231121313 1474615887590 1779708829850 2064462242626 2949231775180 3559417659700 3686539718975 4128924485252 5161155606565 7373079437950 10322311213130 14746158875900 20644622426260 25805778032825 51611556065650 103223112131300