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1201300020 = 223256673889
BaseRepresentation
bin100011110011010…
…0110001000110100
310002201110100211100
41013212212020310
54430013100040
6315112010100
741524611264
oct10746461064
93081410740
101201300020
11567114538
12296390930
13161b5b11b
14b578b7a4
15706e5b30
hex479a6234

1201300020 has 36 divisors (see below), whose sum is σ = 3643943940. Its totient is φ = 320346624.

The previous prime is 1201300013. The next prime is 1201300027. The reversal of 1201300020 is 200031021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201300013) and next prime (1201300027).

It can be written as a sum of positive squares in 2 ways, for example, as 879241104 + 322058916 = 29652^2 + 17946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1201299975 and 1201300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201300027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336765 + ... + 3337124.

It is an arithmetic number, because the mean of its divisors is an integer number (101220665).

Almost surely, 21201300020 is an apocalyptic number.

1201300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201300020 is an abundant number, since it is smaller than the sum of its proper divisors (2442643920).

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

1201300020 is a wasteful number, since it uses less digits than its factorization.

1201300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673904 (or 6673899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1201300020 is about 34659.7752445107. The cubic root of 1201300020 is about 1063.0421744100.

Adding to 1201300020 its reverse (200031021), we get a palindrome (1401331041).

The spelling of 1201300020 in words is "one billion, two hundred one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6673889 13347778 20021667 26695556 33369445 40043334 60065001 66738890 80086668 100108335 120130002 133477780 200216670 240260004 300325005 400433340 600650010 1201300020