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110032033120 = 2552329900009
BaseRepresentation
bin110011001111001101…
…0111001010101100000
3101112000022200102112221
41212132122321111200
53300321200024440
6122314212200424
710643460564322
oct1463632712540
9345008612487
10110032033120
114273423a069
12193a9609114
13a4b7034409
14547b561612
152cded23d4a
hex199e6b9560

110032033120 has 48 divisors (see below), whose sum is σ = 271252890720. Its totient is φ = 42099211264.

The previous prime is 110032033099. The next prime is 110032033157. The reversal of 110032033120 is 21330230011.

110032033120 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 110032033094 and 110032033103.

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 7 ways as a sum of consecutive naturals, for example, 14946325 + ... + 14953684.

It is an arithmetic number, because the mean of its divisors is an integer number (5651101890).

Almost surely, 2110032033120 is an apocalyptic number.

110032033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110032033120 is an abundant number, since it is smaller than the sum of its proper divisors (161220857600).

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

110032033120 is a wasteful number, since it uses less digits than its factorization.

110032033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29900047 (or 29900039 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 110032033120 its reverse (21330230011), we get a palindrome (131362263131).

The spelling of 110032033120 in words is "one hundred ten billion, thirty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 29900009 59800018 119600036 149500045 239200072 299000090 478400144 598000180 687700207 956800288 1196000360 1375400414 2392000720 2750800828 3438501035 4784001440 5501601656 6877002070 11003203312 13754004140 22006406624 27508008280 55016016560 110032033120