Search a number
-
+
1201300220 = 2253116311887
BaseRepresentation
bin100011110011010…
…0110001011111100
310002201110101002202
41013212212023330
54430013101340
6315112011032
741524612001
oct10746461374
93081411082
101201300220
115671146aa
12296390a78
13161b5b243
14b578b8a8
15706e5c15
hex479a62fc

1201300220 has 48 divisors (see below), whose sum is σ = 2620305408. Its totient is φ = 462127680.

The previous prime is 1201300207. The next prime is 1201300231. The reversal of 1201300220 is 220031021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95117 + ... + 107003.

It is an arithmetic number, because the mean of its divisors is an integer number (54589696).

Almost surely, 21201300220 is an apocalyptic number.

1201300220 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 1201300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310152704).

1201300220 is an abundant number, since it is smaller than the sum of its proper divisors (1419005188).

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

1201300220 is a wasteful number, since it uses less digits than its factorization.

1201300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12090 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1201300220 is about 34659.7781296996. The cubic root of 1201300220 is about 1063.0422334040.

Adding to 1201300220 its reverse (220031021), we get a palindrome (1421331241).

The spelling of 1201300220 in words is "one billion, two hundred one million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 620 652 815 1630 3260 5053 10106 11887 20212 23774 25265 47548 50530 59435 101060 118870 237740 368497 736994 1473988 1842485 1937581 3684970 3875162 7369940 7750324 9687905 19375810 38751620 60065011 120130022 240260044 300325055 600650110 1201300220