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1201350000 = 243558009
BaseRepresentation
bin100011110011011…
…0010010101110000
310002201112220101110
41013212302111300
54430021200000
6315113033320
741525210064
oct10746622560
93081486343
101201350000
11567149044
122963b5840
13161b77ab6
14b57a1aa4
1570705850
hex479b2570

1201350000 has 120 divisors (see below), whose sum is σ = 3879595440. Its totient is φ = 320320000.

The previous prime is 1201349951. The next prime is 1201350001. The reversal of 1201350000 is 531021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201350001) 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, 145996 + ... + 154004.

It is an arithmetic number, because the mean of its divisors is an integer number (32329962).

Almost surely, 21201350000 is an apocalyptic number.

1201350000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939797720).

1201350000 is an abundant number, since it is smaller than the sum of its proper divisors (2678245440).

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

1201350000 is an frugal number, since it uses more digits than its factorization.

1201350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1201350000 is about 34660.4962457262. The cubic root of 1201350000 is about 1063.0569168030.

Adding to 1201350000 its reverse (531021), we get a palindrome (1201881021).

The spelling of 1201350000 in words is "one billion, two hundred one million, three hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 8009 9375 10000 12500 15000 16018 18750 24027 25000 30000 32036 37500 40045 48054 50000 64072 75000 80090 96108 120135 128144 150000 160180 192216 200225 240270 320360 384432 400450 480540 600675 640720 800900 961080 1001125 1201350 1601800 1922160 2002250 2402700 3003375 3203600 4004500 4805400 5005625 6006750 8009000 9610800 10011250 12013500 15016875 16018000 20022500 24027000 25028125 30033750 40045000 48054000 50056250 60067500 75084375 80090000 100112500 120135000 150168750 200225000 240270000 300337500 400450000 600675000 1201350000