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120003211330000 = 245429413804177
BaseRepresentation
bin11011010010010001101100…
…110010001000000111010000
3120201220012021010110111112121
4123102101230302020013100
5111212113034100030000
61103120414134504024
734163642306063245
oct3322215462100720
9521805233414477
10120003211330000
1135267092355a49
1211561514805014
1351c633c83453b
14218c2877675cc
15dd185b540b1a
hex6d246cc881d0

120003211330000 has 100 divisors (see below), whose sum is σ = 300558388606740. Its totient is φ = 46346067712000.

The previous prime is 120003211329977. The next prime is 120003211330027. The reversal of 120003211330000 is 33112300021.

It can be written as a sum of positive squares in 10 ways, for example, as 92489997277584 + 27513214052416 = 9617172^2 + 5245304^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 206612089 + ... + 207192088.

Almost surely, 2120003211330000 is an apocalyptic number.

120003211330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120003211330000 is an abundant number, since it is smaller than the sum of its proper divisors (180555177276740).

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

120003211330000 is an equidigital number, since it uses as much as digits as its factorization.

120003211330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413804234 (or 413804213 counting only the distinct ones).

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

Adding to 120003211330000 its reverse (33112300021), we get a palindrome (120036323630021).

The spelling of 120003211330000 in words is "one hundred twenty trillion, three billion, two hundred eleven million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 413804177 827608354 1655216708 2069020885 3310433416 4138041770 6620866832 8276083540 10345104425 12000321133 16552167080 20690208850 24000642266 33104334160 41380417700 48001284532 51725522125 60001605665 82760835400 96002569064 103451044250 120003211330 165521670800 192005138128 206902088500 240006422660 258627610625 300008028325 413804177000 480012845320 517255221250 600016056650 827608354000 960025690640 1034510442500 1200032113300 1500040141625 2069020885000 2400064226600 3000080283250 4138041770000 4800128453200 6000160566500 7500200708125 12000321133000 15000401416250 24000642266000 30000802832500 60001605665000 120003211330000