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112134004000 = 255342436607
BaseRepresentation
bin110100001101110110…
…1010001110100100000
3101201102210220121112021
41220123231101310200
53314122301112000
6123302540511224
711046533210314
oct1503355216440
9351383817467
10112134004000
11436127a3987
121989554b514
13a760662375
1455da7a1b44
152db462a11a
hex1a1bb51d20

112134004000 has 96 divisors (see below), whose sum is σ = 275619891456. Its totient is φ = 44836243200.

The previous prime is 112134003973. The next prime is 112134004007. The reversal of 112134004000 is 400431211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112134004007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16968697 + ... + 16975303.

It is an arithmetic number, because the mean of its divisors is an integer number (2871040536).

Almost surely, 2112134004000 is an apocalyptic number.

112134004000 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 112134004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137809945728).

112134004000 is an abundant number, since it is smaller than the sum of its proper divisors (163485887456).

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

112134004000 is an equidigital number, since it uses as much as digits as its factorization.

112134004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112134004000 its reverse (400431211), we get a palindrome (112534435211).

The spelling of 112134004000 in words is "one hundred twelve billion, one hundred thirty-four million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4243 6607 8486 13214 16972 21215 26428 33035 33944 42430 52856 66070 67888 84860 105712 106075 132140 135776 165175 169720 211424 212150 264280 330350 339440 424300 528560 530375 660700 678880 825875 848600 1057120 1060750 1321400 1651750 1697200 2121500 2642800 3303500 3394400 4243000 5285600 6607000 8486000 13214000 16972000 26428000 28033501 56067002 112134004 140167505 224268008 280335010 448536016 560670020 700837525 897072032 1121340040 1401675050 2242680080 2803350100 3504187625 4485360160 5606700200 7008375250 11213400400 14016750500 22426800800 28033501000 56067002000 112134004000