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1201013320 = 235138327827
BaseRepresentation
bin100011110010110…
…0000001001001000
310002200220210112211
41013211200021020
54424424411240
6315101514504
741522305363
oct10745401110
93080823484
101201013320
11566a390a1
12296272a34
13161a8a790
14b57150da
157068abea
hex47960248

1201013320 has 64 divisors (see below), whose sum is σ = 2945315520. Its totient is φ = 438092544.

The previous prime is 1201013299. The next prime is 1201013353. The reversal of 1201013320 is 233101021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1201013320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29247 + ... + 57073.

It is an arithmetic number, because the mean of its divisors is an integer number (46020555).

Almost surely, 21201013320 is an apocalyptic number.

1201013320 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 1201013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472657760).

1201013320 is an abundant number, since it is smaller than the sum of its proper divisors (1744302200).

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

1201013320 is a wasteful number, since it uses less digits than its factorization.

1201013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27934 (or 27930 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1201013320 is about 34655.6390793764. The cubic root of 1201013320 is about 1062.9575998005.

Adding to 1201013320 its reverse (233101021), we get a palindrome (1434114341).

The spelling of 1201013320 in words is "one billion, two hundred one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 83 104 130 166 260 332 415 520 664 830 1079 1660 2158 3320 4316 5395 8632 10790 21580 27827 43160 55654 111308 139135 222616 278270 361751 556540 723502 1113080 1447004 1808755 2309641 2894008 3617510 4619282 7235020 9238564 11548205 14470040 18477128 23096410 30025333 46192820 60050666 92385640 120101332 150126665 240202664 300253330 600506660 1201013320