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110001200120 = 2357538173009
BaseRepresentation
bin110011001110010010…
…1010001101111111000
3101111221011122221121222
41212130211101233320
53300240301400440
6122311151251212
710642634526230
oct1463445215770
9344834587558
10110001200120
114271889a849
121939b219b08
13a4b082a236
145477416cc0
152cdc2832b5
hex199c951bf8

110001200120 has 64 divisors (see below), whose sum is σ = 282916670400. Its totient is φ = 37707171840.

The previous prime is 110001200087. The next prime is 110001200123. The reversal of 110001200120 is 21002100011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110001200098 and 110001200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001200123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470176 + ... + 1543184.

It is an arithmetic number, because the mean of its divisors is an integer number (4420572975).

Almost surely, 2110001200120 is an apocalyptic number.

110001200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001200120 is an abundant number, since it is smaller than the sum of its proper divisors (172915470280).

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

110001200120 is a wasteful number, since it uses less digits than its factorization.

110001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78408 (or 78404 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110001200120 its reverse (21002100011), we get a palindrome (131003300131).

The spelling of 110001200120 in words is "one hundred ten billion, one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 5381 10762 21524 26905 37667 43048 53810 73009 75334 107620 146018 150668 188335 215240 292036 301336 365045 376670 511063 584072 730090 753340 1022126 1460180 1506680 2044252 2555315 2920360 4088504 5110630 10221260 20442520 392861429 785722858 1571445716 1964307145 2750030003 3142891432 3928614290 5500060006 7857228580 11000120012 13750150015 15714457160 22000240024 27500300030 55000600060 110001200120