Search a number
-
+
112543114132120 = 23573135293674071
BaseRepresentation
bin11001100101101101111100…
…010101101111101010011000
3112202111000110010110011222211
4121211231330111233222120
5104222401244204211440
61035205332021324504
732463654166132420
oct3145557425575230
9482430403404884
10112543114132120
11329502a2a31021
1210757739266734
134aa4a01c6b479
141db1189a17480
15d027883e5eea
hex665b7c56fa98

112543114132120 has 128 divisors (see below), whose sum is σ = 298816684646400. Its totient is φ = 37330902604800.

The previous prime is 112543114132117. The next prime is 112543114132159. The reversal of 112543114132120 is 21231411345211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28794685 + ... + 32468755.

It is an arithmetic number, because the mean of its divisors is an integer number (2334505348800).

Almost surely, 2112543114132120 is an apocalyptic number.

112543114132120 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 112543114132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149408342323200).

112543114132120 is an abundant number, since it is smaller than the sum of its proper divisors (186273570514280).

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

112543114132120 is a wasteful number, since it uses less digits than its factorization.

112543114132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677649 (or 3677645 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 112543114132120 its reverse (21231411345211), we get a palindrome (133774525477331).

The spelling of 112543114132120 in words is "one hundred twelve trillion, five hundred forty-three billion, one hundred fourteen million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 3529 4340 7058 8680 14116 17645 24703 28232 35290 49406 70580 98812 109399 123515 141160 197624 218798 247030 437596 494060 546995 765793 875192 988120 1093990 1531586 2187980 3063172 3674071 3828965 4375960 6126344 7348142 7657930 14696284 15315860 18370355 25718497 29392568 30631720 36740710 51436994 73481420 102873988 113896201 128592485 146962840 205747976 227792402 257184970 455584804 514369940 569481005 797273407 911169608 1028739880 1138962010 1594546814 2277924020 3189093628 3986367035 4555848040 6378187256 7972734070 12965796559 15945468140 25931593118 31890936280 51863186236 64828982795 90760575913 103726372472 129657965590 181521151826 259315931180 363042303652 401939693329 453802879565 518631862360 726084607304 803879386658 907605759130 1607758773316 1815211518260 2009698466645 2813577853303 3215517546632 3630423036520 4019396933290 5627155706606 8038793866580 11254311413212 14067889266515 16077587733160 22508622826424 28135778533030 56271557066060 112543114132120