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120331020013200 = 24325233425283337
BaseRepresentation
bin11011010111000010111111…
…101101000000111010010000
3120210001112101200100000010100
4123113002333231000322100
5111233000412110410300
61103531150224332400
734226425564652013
oct3327027755007220
9523045350300110
10120331020013200
113538310a857557
12115b4b5b174100
13521b221a46c79
1421a00a3c9737a
15dda145274700
hex6d70bfb40e90

120331020013200 has 90 divisors (see below), whose sum is σ = 417582064741634. Its totient is φ = 32088272002560.

The previous prime is 120331020013163. The next prime is 120331020013229. The reversal of 120331020013200 is 2310020133021.

120331020013200 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 0 + 200 + 132 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13993016044176 + 106338003969024 = 3740724^2 + 10312032^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16712638069 + ... + 16712645268.

Almost surely, 2120331020013200 is an apocalyptic number.

120331020013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120331020013200 is an abundant number, since it is smaller than the sum of its proper divisors (297251044728434).

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

120331020013200 is a wasteful number, since it uses less digits than its factorization.

120331020013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33425283361 (or 33425283347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120331020013200 its reverse (2310020133021), we get a palindrome (122641040146221).

The spelling of 120331020013200 in words is "one hundred twenty trillion, three hundred thirty-one billion, twenty million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 33425283337 66850566674 100275850011 133701133348 167126416685 200551700022 267402266696 300827550033 334252833370 401103400044 501379250055 534804533392 601655100066 668505666740 802206800088 835632083425 1002758500110 1203310200132 1337011333480 1504137750165 1604413600176 1671264166850 2005517000220 2406620400264 2506896250275 2674022666960 3008275500330 3342528333700 4011034000440 4813240800528 5013792500550 6016551000660 6685056667400 7520688750825 8022068000880 10027585001100 12033102001320 13370113334800 15041377501650 20055170002200 24066204002640 30082755003300 40110340004400 60165510006600 120331020013200