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112120310000 = 245449922469
BaseRepresentation
bin110100001101011100…
…1000010100011110000
3101201101212010212220002
41220122321002203300
53314110244410000
6123301331205132
711046305624156
oct1503271024360
9351355125802
10112120310000
1143605aa0426
1219890a467a8
13a75a8792ca
1455d8a393d6
152db33228d5
hex1a1ae428f0

112120310000 has 100 divisors (see below), whose sum is σ = 272010585000. Its totient is φ = 44756256000.

The previous prime is 112120309981. The next prime is 112120310011. The reversal of 112120310000 is 13021211.

112120310000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1121203100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4978766 + ... + 5001234.

It is an arithmetic number, because the mean of its divisors is an integer number (2720105850).

Almost surely, 2112120310000 is an apocalyptic number.

112120310000 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 112120310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136005292500).

112120310000 is an abundant number, since it is smaller than the sum of its proper divisors (159890275000).

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

112120310000 is an equidigital number, since it uses as much as digits as its factorization.

112120310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22996 (or 22975 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 112120310000 its reverse (13021211), we get a palindrome (112133331211).

The spelling of 112120310000 in words is "one hundred twelve billion, one hundred twenty million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 499 500 625 998 1000 1250 1996 2000 2495 2500 3992 4990 5000 7984 9980 10000 12475 19960 22469 24950 39920 44938 49900 62375 89876 99800 112345 124750 179752 199600 224690 249500 311875 359504 449380 499000 561725 623750 898760 998000 1123450 1247500 1797520 2246900 2495000 2808625 4493800 4990000 5617250 8987600 11212031 11234500 14043125 22424062 22469000 28086250 44848124 44938000 56060155 56172500 89696248 112120310 112345000 179392496 224240620 224690000 280300775 448481240 560601550 896962480 1121203100 1401503875 2242406200 2803007750 4484812400 5606015500 7007519375 11212031000 14015038750 22424062000 28030077500 56060155000 112120310000