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112000112040 = 23353130107557
BaseRepresentation
bin110100001001110111…
…0100001010110101000
3101201002110222012021210
41220103232201112220
53313334012041130
6123241355033120
711043316146615
oct1502356412650
9351073865253
10112000112040
1143554163973
121985873b7a0
13a73b9b325b
1455c6aab50c
152da79cd5b0
hex1a13ba15a8

112000112040 has 64 divisors (see below), whose sum is σ = 346839068160. Its totient is φ = 28903253760.

The previous prime is 112000112017. The next prime is 112000112069. The reversal of 112000112040 is 40211000211.

It is a happy number.

112000112040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 15050059 + ... + 15057498.

It is an arithmetic number, because the mean of its divisors is an integer number (5419360440).

Almost surely, 2112000112040 is an apocalyptic number.

112000112040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112000112040 is an abundant number, since it is smaller than the sum of its proper divisors (234838956120).

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

112000112040 is a wasteful number, since it uses less digits than its factorization.

112000112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30107602 (or 30107598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112000112040 its reverse (40211000211), we get a palindrome (152211112251).

The spelling of 112000112040 in words is "one hundred twelve billion, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 30107557 60215114 90322671 120430228 150537785 180645342 240860456 301075570 361290684 451613355 602151140 722581368 903226710 933334267 1204302280 1806453420 1866668534 2800002801 3612906840 3733337068 4666671335 5600005602 7466674136 9333342670 11200011204 14000014005 18666685340 22400022408 28000028010 37333370680 56000056020 112000112040