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112000212320 = 2556744923269
BaseRepresentation
bin110100001001110111…
…0111001110101100000
3101201002111011021211212
41220103232321311200
53313334023243240
6123241401125252
711043320045153
oct1502356716540
9351074137755
10112000212320
1143554222247
1219858789828
13a73ba19aa9
1455c6ad5c9a
152da79ed165
hex1a13bb9d60

112000212320 has 96 divisors (see below), whose sum is σ = 269159436000. Its totient is φ = 44031246336.

The previous prime is 112000212299. The next prime is 112000212341. The reversal of 112000212320 is 23212000211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112000212299) and next prime (112000212341).

It is a junction number, because it is equal to n+sod(n) for n = 112000212295 and 112000212304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4801646 + ... + 4824914.

It is an arithmetic number, because the mean of its divisors is an integer number (2803744125).

Almost surely, 2112000212320 is an apocalyptic number.

112000212320 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 112000212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134579718000).

112000212320 is an abundant number, since it is smaller than the sum of its proper divisors (157159223680).

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

112000212320 is a wasteful number, since it uses less digits than its factorization.

112000212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23800 (or 23792 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112000212320 its reverse (23212000211), we get a palindrome (135212212531).

The spelling of 112000212320 in words is "one hundred twelve billion, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 449 536 670 898 1072 1340 1796 2144 2245 2680 3592 4490 5360 7184 8980 10720 14368 17960 23269 30083 35920 46538 60166 71840 93076 116345 120332 150415 186152 232690 240664 300830 372304 465380 481328 601660 744608 930760 962656 1203320 1559023 1861520 2406640 3118046 3723040 4813280 6236092 7795115 10447781 12472184 15590230 20895562 24944368 31180460 41791124 49888736 52238905 62360920 83582248 104477810 124721840 167164496 208955620 249443680 334328992 417911240 700001327 835822480 1400002654 1671644960 2800005308 3500006635 5600010616 7000013270 11200021232 14000026540 22400042464 28000053080 56000106160 112000212320