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120002030320032 = 25327193308418739
BaseRepresentation
bin11011010010010000100110…
…011000111011100110100000
3120201220002012211011222102200
4123102100212120323212200
5111212103124230220112
61103120101025413200
734163601115466430
oct3322204630734640
9521802184158380
10120002030320032
113526663673a753
121156124519a200
1351c61b1c5b883
14218c1b497c2c0
15dd17dca06cdc
hex6d242663b9a0

120002030320032 has 144 divisors (see below), whose sum is σ = 392027359389120. Its totient is φ = 34108645072896.

The previous prime is 120002030320031. The next prime is 120002030320049. The reversal of 120002030320032 is 230023030200021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120002030319987 and 120002030320014.

It is not an unprimeable number, because it can be changed into a prime (120002030320031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153820282 + ... + 154598457.

It is an arithmetic number, because the mean of its divisors is an integer number (2722412217980).

Almost surely, 2120002030320032 is an apocalyptic number.

120002030320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120002030320032 is an abundant number, since it is smaller than the sum of its proper divisors (272025329069088).

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

120002030320032 is a wasteful number, since it uses less digits than its factorization.

120002030320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308418955 (or 308418944 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120002030320032 its reverse (230023030200021), we get a palindrome (350025060520053).

The spelling of 120002030320032 in words is "one hundred twenty trillion, two billion, thirty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 193 224 252 288 336 386 504 579 672 772 1008 1158 1351 1544 1737 2016 2316 2702 3088 3474 4053 4632 5404 6176 6948 8106 9264 10808 12159 13896 16212 18528 21616 24318 27792 32424 43232 48636 55584 64848 97272 129696 194544 389088 308418739 616837478 925256217 1233674956 1850512434 2158931173 2467349912 2775768651 3701024868 4317862346 4934699824 5551537302 6476793519 7402049736 8635724692 9869399648 11103074604 12953587038 14804099472 17271449384 19430380557 22206149208 25907174076 29608198944 34542898768 38860761114 44412298416 51814348152 59524816627 69085797536 77721522228 88824596832 103628696304 119049633254 155443044456 178574449881 207257392608 238099266508 310886088912 357148899762 416673716389 476198533016 535723349643 621772177824 714297799524 833347432778 952397066032 1071446699286 1250021149167 1428595599048 1666694865556 1904794132064 2142893398572 2500042298334 2857191198096 3333389731112 3750063447501 4285786797144 5000084596668 5714382396192 6666779462224 7500126895002 8571573594288 10000169193336 13333558924448 15000253790004 17143147188576 20000338386672 30000507580008 40000676773344 60001015160016 120002030320032